SF.i

   1 %module "Math::GSL::SF"
   2 %include "typemaps.i"
   3
   4 %apply double *OUTPUT { double * sn, double * cn, double * dn };
   5
   6 %{
   7     #include "gsl/gsl_mode.h"
   8     #include "gsl/gsl_sf.h"
   9     #include "gsl/gsl_sf_airy.h"
  10     #include "gsl/gsl_sf_bessel.h"
  11     #include "gsl/gsl_sf_clausen.h"
  12     #include "gsl/gsl_sf_coulomb.h"
  13     #include "gsl/gsl_sf_coupling.h"
  14     #include "gsl/gsl_sf_dawson.h"
  15     #include "gsl/gsl_sf_debye.h"
  16     #include "gsl/gsl_sf_dilog.h"
  17     #include "gsl/gsl_sf_elementary.h"
  18     #include "gsl/gsl_sf_ellint.h"
  19     #include "gsl/gsl_sf_elljac.h"
  20     #include "gsl/gsl_sf_erf.h"
  21     #include "gsl/gsl_sf_exp.h"
  22     #include "gsl/gsl_sf_expint.h"
  23     #include "gsl/gsl_sf_fermi_dirac.h"
  24     #include "gsl/gsl_sf_gamma.h"
  25     #include "gsl/gsl_sf_gegenbauer.h"
  26     #include "gsl/gsl_sf_hyperg.h"
  27     #include "gsl/gsl_sf_laguerre.h"
  28     #include "gsl/gsl_sf_lambert.h"
  29     #include "gsl/gsl_sf_legendre.h"
  30     #include "gsl/gsl_sf_log.h"
  31     #include "gsl/gsl_sf_mathieu.h"
  32     #include "gsl/gsl_sf_pow_int.h"
  33     #include "gsl/gsl_sf_psi.h"
  34     #include "gsl/gsl_sf_result.h"
  35     #include "gsl/gsl_sf_synchrotron.h"
  36     #include "gsl/gsl_sf_transport.h"
  37     #include "gsl/gsl_sf_trig.h"
  38     #include "gsl/gsl_sf_zeta.h"
  39 %}
  40
  41 %include "gsl/gsl_mode.h"
  42 %include "gsl/gsl_sf.h"
  43 %include "gsl/gsl_sf_airy.h"
  44 %include "gsl/gsl_sf_bessel.h"
  45 %include "gsl/gsl_sf_clausen.h"
  46 %include "gsl/gsl_sf_coulomb.h"
  47 %include "gsl/gsl_sf_coupling.h"
  48 %include "gsl/gsl_sf_dawson.h"
  49 %include "gsl/gsl_sf_debye.h"
  50 %include "gsl/gsl_sf_dilog.h"
  51 %include "gsl/gsl_sf_elementary.h"
  52 %include "gsl/gsl_sf_ellint.h"
  53 %include "gsl/gsl_sf_elljac.h"
  54 %include "gsl/gsl_sf_erf.h"
  55 %include "gsl/gsl_sf_exp.h"
  56 %include "gsl/gsl_sf_expint.h"
  57 %include "gsl/gsl_sf_fermi_dirac.h"
  58 %include "gsl/gsl_sf_gamma.h"
  59 %include "gsl/gsl_sf_gegenbauer.h"
  60 %include "gsl/gsl_sf_hyperg.h"
  61 %include "gsl/gsl_sf_laguerre.h"
  62 %include "gsl/gsl_sf_lambert.h"
  63 %include "gsl/gsl_sf_legendre.h"
  64 %include "gsl/gsl_sf_log.h"
  65 %include "gsl/gsl_sf_mathieu.h"
  66 %include "gsl/gsl_sf_pow_int.h"
  67 %include "gsl/gsl_sf_psi.h"
  68 %include "gsl/gsl_sf_result.h"
  69 %include "gsl/gsl_sf_synchrotron.h"
  70 %include "gsl/gsl_sf_transport.h"
  71 %include "gsl/gsl_sf_trig.h"
  72 %include "gsl/gsl_sf_zeta.h"
  73
  74
  75 %perlcode %{
  76
  77 @EXPORT_airy = qw/
  78                gsl_sf_airy_Ai_e
  79                gsl_sf_airy_Ai
  80                gsl_sf_airy_Bi_e
  81                gsl_sf_airy_Bi
  82                gsl_sf_airy_Ai_scaled_e
  83                gsl_sf_airy_Ai_scaled
  84                gsl_sf_airy_Bi_scaled_e
  85                gsl_sf_airy_Bi_scaled
  86                gsl_sf_airy_Ai_deriv_e
  87                gsl_sf_airy_Ai_deriv
  88                gsl_sf_airy_Bi_deriv_e
  89                gsl_sf_airy_Bi_deriv
  90                gsl_sf_airy_Ai_deriv_scaled_e
  91                gsl_sf_airy_Ai_deriv_scaled
  92                gsl_sf_airy_Bi_deriv_scaled_e
  93                gsl_sf_airy_Bi_deriv_scaled
  94                gsl_sf_airy_zero_Ai_e
  95                gsl_sf_airy_zero_Ai
  96                gsl_sf_airy_zero_Bi_e
  97                gsl_sf_airy_zero_Bi
  98                gsl_sf_airy_zero_Ai_deriv_e
  99                gsl_sf_airy_zero_Ai_deriv
 100                gsl_sf_airy_zero_Bi_deriv_e
 101                gsl_sf_airy_zero_Bi_deriv
 102                /;
 103 @EXPORT_bessel =qw/
 104                gsl_sf_bessel_J0_e
 105                gsl_sf_bessel_J0
 106                gsl_sf_bessel_J1_e
 107                gsl_sf_bessel_J1
 108                gsl_sf_bessel_Jn_e
 109                gsl_sf_bessel_Jn
 110                gsl_sf_bessel_Jn_array
 111                gsl_sf_bessel_Y0_e
 112                gsl_sf_bessel_Y0
 113                gsl_sf_bessel_Y1_e
 114                gsl_sf_bessel_Y1
 115                gsl_sf_bessel_Yn_e
 116                gsl_sf_bessel_Yn
 117                gsl_sf_bessel_Yn_array
 118                gsl_sf_bessel_I0_e
 119                gsl_sf_bessel_I0
 120                gsl_sf_bessel_I1_e
 121                gsl_sf_bessel_I1
 122                gsl_sf_bessel_In_e
 123                gsl_sf_bessel_In
 124                gsl_sf_bessel_In_array
 125                gsl_sf_bessel_I0_scaled_e
 126                gsl_sf_bessel_I0_scaled
 127                gsl_sf_bessel_I1_scaled_e
 128                gsl_sf_bessel_I1_scaled
 129                gsl_sf_bessel_In_scaled_e
 130                gsl_sf_bessel_In_scaled
 131                gsl_sf_bessel_In_scaled_array
 132                gsl_sf_bessel_K0_e
 133                gsl_sf_bessel_K0
 134                gsl_sf_bessel_K1_e
 135                gsl_sf_bessel_K1
 136                gsl_sf_bessel_Kn_e
 137                gsl_sf_bessel_Kn
 138                gsl_sf_bessel_Kn_array
 139                gsl_sf_bessel_K0_scaled_e
 140                gsl_sf_bessel_K0_scaled
 141                gsl_sf_bessel_K1_scaled_e
 142                gsl_sf_bessel_K1_scaled
 143                gsl_sf_bessel_Kn_scaled_e
 144                gsl_sf_bessel_Kn_scaled
 145                gsl_sf_bessel_Kn_scaled_array
 146                gsl_sf_bessel_j0_e
 147                gsl_sf_bessel_j0
 148                gsl_sf_bessel_j1_e
 149                gsl_sf_bessel_j1
 150                gsl_sf_bessel_j2_e
 151                gsl_sf_bessel_j2
 152                gsl_sf_bessel_jl_e
 153                gsl_sf_bessel_jl
 154                gsl_sf_bessel_jl_array
 155                gsl_sf_bessel_jl_steed_array
 156                gsl_sf_bessel_y0_e
 157                gsl_sf_bessel_y0
 158                gsl_sf_bessel_y1_e
 159                gsl_sf_bessel_y1
 160                gsl_sf_bessel_y2_e
 161                gsl_sf_bessel_y2
 162                gsl_sf_bessel_yl_e
 163                gsl_sf_bessel_yl
 164                gsl_sf_bessel_yl_array
 165                gsl_sf_bessel_i0_scaled_e
 166                gsl_sf_bessel_i0_scaled
 167                gsl_sf_bessel_i1_scaled_e
 168                gsl_sf_bessel_i1_scaled
 169                gsl_sf_bessel_i2_scaled_e
 170                gsl_sf_bessel_i2_scaled
 171                gsl_sf_bessel_il_scaled_e
 172                gsl_sf_bessel_il_scaled
 173                gsl_sf_bessel_il_scaled_array
 174                gsl_sf_bessel_k0_scaled_e
 175                gsl_sf_bessel_k0_scaled
 176                gsl_sf_bessel_k1_scaled_e
 177                gsl_sf_bessel_k1_scaled
 178                gsl_sf_bessel_k2_scaled_e
 179                gsl_sf_bessel_k2_scaled
 180                gsl_sf_bessel_kl_scaled_e
 181                gsl_sf_bessel_kl_scaled
 182                gsl_sf_bessel_kl_scaled_array
 183                gsl_sf_bessel_Jnu_e
 184                gsl_sf_bessel_Jnu
 185                gsl_sf_bessel_Ynu_e
 186                gsl_sf_bessel_Ynu
 187                gsl_sf_bessel_sequence_Jnu_e
 188                gsl_sf_bessel_Inu_scaled_e
 189                gsl_sf_bessel_Inu_scaled
 190                gsl_sf_bessel_Inu_e
 191                gsl_sf_bessel_Inu
 192                gsl_sf_bessel_Knu_scaled_e
 193                gsl_sf_bessel_Knu_scaled
 194                gsl_sf_bessel_Knu_e
 195                gsl_sf_bessel_Knu
 196                gsl_sf_bessel_lnKnu_e
 197                gsl_sf_bessel_lnKnu
 198                gsl_sf_bessel_zero_J0_e
 199                gsl_sf_bessel_zero_J0
 200                gsl_sf_bessel_zero_J1_e
 201                gsl_sf_bessel_zero_J1
 202                gsl_sf_bessel_zero_Jnu_e
 203                gsl_sf_bessel_zero_Jnu
 204                /;
 205 @EXPORT_clausen = qw/
 206                gsl_sf_clausen_e
 207                gsl_sf_clausen
 208                /;
 209 @EXPORT_hydrogenic =  qw/
 210                gsl_sf_hydrogenicR_1_e
 211                gsl_sf_hydrogenicR_1
 212                gsl_sf_hydrogenicR_e
 213                gsl_sf_hydrogenicR
 214                /;
 215 @EXPORT_coulumb = qw/
 216                gsl_sf_coulomb_wave_FG_e
 217                gsl_sf_coulomb_wave_F_array
 218                gsl_sf_coulomb_wave_FG_array
 219                gsl_sf_coulomb_wave_FGp_array
 220                gsl_sf_coulomb_wave_sphF_array
 221                gsl_sf_coulomb_CL_e
 222                gsl_sf_coulomb_CL_array
 223                /;
 224 @EXPORT_coupling = qw/
 225                gsl_sf_coupling_3j_e
 226                gsl_sf_coupling_3j
 227                gsl_sf_coupling_6j_e
 228                gsl_sf_coupling_6j
 229                gsl_sf_coupling_RacahW_e
 230                gsl_sf_coupling_RacahW
 231                gsl_sf_coupling_9j_e
 232                gsl_sf_coupling_9j
 233                gsl_sf_coupling_6j_INCORRECT_e
 234                gsl_sf_coupling_6j_INCORRECT
 235                /;
 236 @EXPORT_dawson = qw/
 237                gsl_sf_dawson_e
 238                gsl_sf_dawson
 239                /;
 240 @EXPORT_debye = qw/
 241                gsl_sf_debye_1_e
 242                gsl_sf_debye_1
 243                gsl_sf_debye_2_e
 244                gsl_sf_debye_2
 245                gsl_sf_debye_3_e
 246                gsl_sf_debye_3
 247                gsl_sf_debye_4_e
 248                gsl_sf_debye_4
 249                gsl_sf_debye_5_e
 250                gsl_sf_debye_5
 251                gsl_sf_debye_6_e
 252                gsl_sf_debye_6
 253                /;
 254 @EXPORT_dilog = qw/
 255                gsl_sf_dilog_e
 256                gsl_sf_dilog
 257                gsl_sf_complex_dilog_xy_e
 258                gsl_sf_complex_dilog_e
 259                /;
 260
 261 @EXPORT_misc = qw/
 262                gsl_sf_complex_spence_xy_e
 263                gsl_sf_multiply_e
 264                gsl_sf_multiply
 265                gsl_sf_multiply_err_e
 266                /;
 267 @EXPORT_elliptic = qw/
 268                gsl_sf_ellint_Kcomp_e
 269                gsl_sf_ellint_Kcomp
 270                gsl_sf_ellint_Ecomp_e
 271                gsl_sf_ellint_Ecomp
 272                gsl_sf_ellint_Pcomp_e
 273                gsl_sf_ellint_Pcomp
 274                gsl_sf_ellint_Dcomp_e
 275                gsl_sf_ellint_Dcomp
 276                gsl_sf_ellint_F_e
 277                gsl_sf_ellint_F
 278                gsl_sf_ellint_E_e
 279                gsl_sf_ellint_E
 280                gsl_sf_ellint_P_e
 281                gsl_sf_ellint_P
 282                gsl_sf_ellint_D_e
 283                gsl_sf_ellint_D
 284                gsl_sf_ellint_RC_e
 285                gsl_sf_ellint_RC
 286                gsl_sf_ellint_RD_e
 287                gsl_sf_ellint_RD
 288                gsl_sf_ellint_RF_e
 289                gsl_sf_ellint_RF
 290                gsl_sf_ellint_RJ_e
 291                gsl_sf_ellint_RJ
 292                gsl_sf_elljac_e
 293                /;
 294 @EXPORT_error = qw/
 295                gsl_sf_erfc_e
 296                gsl_sf_erfc
 297                gsl_sf_log_erfc_e
 298                gsl_sf_log_erfc
 299                gsl_sf_erf_e
 300                gsl_sf_erf
 301                gsl_sf_erf_Z_e
 302                gsl_sf_erf_Q_e
 303                gsl_sf_erf_Z
 304                gsl_sf_erf_Q
 305                gsl_sf_hazard_e
 306                gsl_sf_hazard
 307                /;
 308 push @EXPORT_misc, qw/
 309                gsl_sf_exp_e
 310                gsl_sf_exp
 311                gsl_sf_exp_e10_e
 312                gsl_sf_exp_mult_e
 313                gsl_sf_exp_mult
 314                gsl_sf_exp_mult_e10_e
 315                gsl_sf_expm1_e
 316                gsl_sf_expm1
 317                gsl_sf_exprel_e
 318                gsl_sf_exprel
 319                gsl_sf_exprel_2_e
 320                gsl_sf_exprel_2
 321                gsl_sf_exprel_n_e
 322                gsl_sf_exprel_n
 323                gsl_sf_exp_err_e
 324                gsl_sf_exp_err_e10_e
 325                gsl_sf_exp_mult_err_e
 326                gsl_sf_exp_mult_err_e10_e
 327                gsl_sf_expint_E1_e
 328                gsl_sf_expint_E1
 329                gsl_sf_expint_E2_e
 330                gsl_sf_expint_E2
 331                gsl_sf_expint_En_e
 332                gsl_sf_expint_En
 333                gsl_sf_expint_E1_scaled_e
 334                gsl_sf_expint_E1_scaled
 335                gsl_sf_expint_E2_scaled_e
 336                gsl_sf_expint_E2_scaled
 337                gsl_sf_expint_En_scaled_e
 338                gsl_sf_expint_En_scaled
 339                gsl_sf_expint_Ei_e
 340                gsl_sf_expint_Ei
 341                gsl_sf_expint_Ei_scaled_e
 342                gsl_sf_expint_Ei_scaled
 343                gsl_sf_Shi_e
 344                gsl_sf_Shi
 345                gsl_sf_Chi_e
 346                gsl_sf_Chi
 347                gsl_sf_expint_3_e
 348                gsl_sf_expint_3
 349                gsl_sf_Si_e
 350                gsl_sf_Si
 351                gsl_sf_Ci_e
 352                gsl_sf_Ci
 353                /;
 354 @EXPORT_fermi_dirac = qw/
 355                gsl_sf_fermi_dirac_m1_e
 356                gsl_sf_fermi_dirac_m1
 357                gsl_sf_fermi_dirac_0_e
 358                gsl_sf_fermi_dirac_0
 359                gsl_sf_fermi_dirac_1_e
 360                gsl_sf_fermi_dirac_1
 361                gsl_sf_fermi_dirac_2_e
 362                gsl_sf_fermi_dirac_2
 363                gsl_sf_fermi_dirac_int_e
 364                gsl_sf_fermi_dirac_int
 365                gsl_sf_fermi_dirac_mhalf_e
 366                gsl_sf_fermi_dirac_mhalf
 367                gsl_sf_fermi_dirac_half_e
 368                gsl_sf_fermi_dirac_half
 369                gsl_sf_fermi_dirac_3half_e
 370                gsl_sf_fermi_dirac_3half
 371                gsl_sf_fermi_dirac_inc_0_e
 372                gsl_sf_fermi_dirac_inc_0
 373                /;
 374 @EXPORT_legendre = qw/
 375                gsl_sf_legendre_Pl_e
 376                gsl_sf_legendre_Pl
 377                gsl_sf_legendre_Pl_array
 378                gsl_sf_legendre_Pl_deriv_array
 379                gsl_sf_legendre_P1_e
 380                gsl_sf_legendre_P2_e
 381                gsl_sf_legendre_P3_e
 382                gsl_sf_legendre_P1
 383                gsl_sf_legendre_P2
 384                gsl_sf_legendre_P3
 385                gsl_sf_legendre_Q0_e
 386                gsl_sf_legendre_Q0
 387                gsl_sf_legendre_Q1_e
 388                gsl_sf_legendre_Q1
 389                gsl_sf_legendre_Ql_e
 390                gsl_sf_legendre_Ql
 391                gsl_sf_legendre_Plm_e
 392                gsl_sf_legendre_Plm
 393                gsl_sf_legendre_Plm_array
 394                gsl_sf_legendre_Plm_deriv_array
 395                gsl_sf_legendre_sphPlm_e
 396                gsl_sf_legendre_sphPlm
 397                gsl_sf_legendre_sphPlm_array
 398                gsl_sf_legendre_sphPlm_deriv_array
 399                gsl_sf_legendre_array_size
 400                gsl_sf_legendre_H3d_0_e
 401                gsl_sf_legendre_H3d_0
 402                gsl_sf_legendre_H3d_1_e
 403                gsl_sf_legendre_H3d_1
 404                gsl_sf_legendre_H3d_e
 405                gsl_sf_legendre_H3d
 406                gsl_sf_legendre_H3d_array
 407                /;
 408 @EXPORT_gamma = qw/
 409                gsl_sf_lngamma_e
 410                gsl_sf_lngamma
 411                gsl_sf_lngamma_sgn_e
 412                gsl_sf_gamma_e
 413                gsl_sf_gamma
 414                gsl_sf_gammastar_e
 415                gsl_sf_gammastar
 416                gsl_sf_gammainv_e
 417                gsl_sf_gammainv
 418                gsl_sf_lngamma_complex_e
 419                gsl_sf_gamma_inc_Q_e
 420                gsl_sf_gamma_inc_Q
 421                gsl_sf_gamma_inc_P_e
 422                gsl_sf_gamma_inc_P
 423                gsl_sf_gamma_inc_e
 424                gsl_sf_gamma_inc
 425                /;
 426 @EXPORT_factorial = qw/
 427                gsl_sf_fact_e
 428                gsl_sf_fact
 429                gsl_sf_doublefact_e
 430                gsl_sf_doublefact
 431                gsl_sf_lnfact_e
 432                gsl_sf_lnfact
 433                gsl_sf_lndoublefact_e
 434                gsl_sf_lndoublefact
 435                /;
 436 @EXPORT_hypergeometric = qw/
 437                gsl_sf_hyperg_0F1_e
 438                gsl_sf_hyperg_0F1
 439                gsl_sf_hyperg_1F1_int_e
 440                gsl_sf_hyperg_1F1_int
 441                gsl_sf_hyperg_1F1_e
 442                gsl_sf_hyperg_1F1
 443                gsl_sf_hyperg_U_int_e
 444                gsl_sf_hyperg_U_int
 445                gsl_sf_hyperg_U_int_e10_e
 446                gsl_sf_hyperg_U_e
 447                gsl_sf_hyperg_U
 448                gsl_sf_hyperg_U_e10_e
 449                gsl_sf_hyperg_2F1_e
 450                gsl_sf_hyperg_2F1
 451                gsl_sf_hyperg_2F1_conj_e
 452                gsl_sf_hyperg_2F1_conj
 453                gsl_sf_hyperg_2F1_renorm_e
 454                gsl_sf_hyperg_2F1_renorm
 455                gsl_sf_hyperg_2F1_conj_renorm_e
 456                gsl_sf_hyperg_2F1_conj_renorm
 457                gsl_sf_hyperg_2F0_e
 458                gsl_sf_hyperg_2F0
 459                /;
 460 @EXPORT_laguerre = qw/
 461                gsl_sf_laguerre_1_e
 462                gsl_sf_laguerre_2_e
 463                gsl_sf_laguerre_3_e
 464                gsl_sf_laguerre_1
 465                gsl_sf_laguerre_2
 466                gsl_sf_laguerre_3
 467                gsl_sf_laguerre_n_e
 468                gsl_sf_laguerre_n
 469                /;
 470 push @EXPORT_misc, qw/
 471                gsl_sf_taylorcoeff_e
 472                gsl_sf_taylorcoeff
 473                gsl_sf_lnchoose_e
 474                gsl_sf_lnchoose
 475                gsl_sf_choose_e
 476                gsl_sf_choose
 477                gsl_sf_lnpoch_e
 478                gsl_sf_lnpoch
 479                gsl_sf_lnpoch_sgn_e
 480                gsl_sf_poch_e
 481                gsl_sf_poch
 482                gsl_sf_pochrel_e
 483                gsl_sf_pochrel
 484                gsl_sf_lnbeta_e
 485                gsl_sf_lnbeta
 486                gsl_sf_lnbeta_sgn_e
 487                gsl_sf_beta_e
 488                gsl_sf_beta
 489                gsl_sf_beta_inc_e
 490                gsl_sf_beta_inc
 491                gsl_sf_gegenpoly_1_e
 492                gsl_sf_gegenpoly_2_e
 493                gsl_sf_gegenpoly_3_e
 494                gsl_sf_gegenpoly_1
 495                gsl_sf_gegenpoly_2
 496                gsl_sf_gegenpoly_3
 497                gsl_sf_gegenpoly_n_e
 498                gsl_sf_gegenpoly_n
 499                gsl_sf_gegenpoly_array
 500                gsl_sf_lambert_W0_e
 501                gsl_sf_lambert_W0
 502                gsl_sf_lambert_Wm1_e
 503                gsl_sf_lambert_Wm1
 504                gsl_sf_conicalP_half_e
 505                gsl_sf_conicalP_half
 506                gsl_sf_conicalP_mhalf_e
 507                gsl_sf_conicalP_mhalf
 508                gsl_sf_conicalP_0_e
 509                gsl_sf_conicalP_0
 510                gsl_sf_conicalP_1_e
 511                gsl_sf_conicalP_1
 512                gsl_sf_conicalP_sph_reg_e
 513                gsl_sf_conicalP_sph_reg
 514                gsl_sf_conicalP_cyl_reg_e
 515                gsl_sf_conicalP_cyl_reg
 516                gsl_sf_log_e
 517                gsl_sf_log
 518                gsl_sf_log_abs_e
 519                gsl_sf_log_abs
 520                gsl_sf_complex_log_e
 521                gsl_sf_log_1plusx_e
 522                gsl_sf_log_1plusx
 523                gsl_sf_log_1plusx_mx_e
 524                gsl_sf_log_1plusx_mx
 525                gsl_sf_pow_int_e
 526                gsl_sf_pow_int
 527                gsl_sf_psi_int_e
 528                gsl_sf_psi_int
 529                gsl_sf_psi_e
 530                gsl_sf_psi
 531                gsl_sf_psi_1piy_e
 532                gsl_sf_psi_1piy
 533                gsl_sf_complex_psi_e
 534                gsl_sf_psi_1_int_e
 535                gsl_sf_psi_1_int
 536                gsl_sf_psi_1_e
 537                gsl_sf_psi_1
 538                gsl_sf_psi_n_e
 539                gsl_sf_psi_n
 540                gsl_sf_result_smash_e
 541                gsl_sf_synchrotron_1_e
 542                gsl_sf_synchrotron_1
 543                gsl_sf_synchrotron_2_e
 544                gsl_sf_synchrotron_2
 545                /;
 546 @EXPORT_mathieu = qw/
 547                gsl_sf_mathieu_a_array
 548                gsl_sf_mathieu_b_array
 549                gsl_sf_mathieu_a
 550                gsl_sf_mathieu_b
 551                gsl_sf_mathieu_a_coeff
 552                gsl_sf_mathieu_b_coeff
 553                gsl_sf_mathieu_alloc
 554                gsl_sf_mathieu_free
 555                gsl_sf_mathieu_ce
 556                gsl_sf_mathieu_se
 557                gsl_sf_mathieu_ce_array
 558                gsl_sf_mathieu_se_array
 559                gsl_sf_mathieu_Mc
 560                gsl_sf_mathieu_Ms
 561                gsl_sf_mathieu_Mc_array
 562                gsl_sf_mathieu_Ms_array
 563                /;
 564 @EXPORT_transport = qw/
 565                gsl_sf_transport_2_e
 566                gsl_sf_transport_2
 567                gsl_sf_transport_3_e
 568                gsl_sf_transport_3
 569                gsl_sf_transport_4_e
 570                gsl_sf_transport_4
 571                gsl_sf_transport_5_e
 572                gsl_sf_transport_5
 573                /;
 574 @EXPORT_trig = qw/
 575                gsl_sf_sin_e
 576                gsl_sf_sin
 577                gsl_sf_sin_pi_x_e
 578                gsl_sf_cos_e
 579                gsl_sf_cos_pi_x_e
 580                gsl_sf_cos
 581                gsl_sf_hypot_e
 582                gsl_sf_hypot
 583                gsl_sf_complex_sin_e
 584                gsl_sf_complex_cos_e
 585                gsl_sf_complex_logsin_e
 586                gsl_sf_sinc_e
 587                gsl_sf_sinc
 588                gsl_sf_lnsinh_e
 589                gsl_sf_lnsinh
 590                gsl_sf_lncosh_e
 591                gsl_sf_lncosh
 592                gsl_sf_polar_to_rect
 593                gsl_sf_rect_to_polar
 594                gsl_sf_sin_err_e
 595                gsl_sf_cos_err_e
 596                gsl_sf_angle_restrict_symm_e
 597                gsl_sf_angle_restrict_symm
 598                gsl_sf_angle_restrict_pos_e
 599                gsl_sf_angle_restrict_pos
 600                gsl_sf_angle_restrict_symm_err_e
 601                gsl_sf_angle_restrict_pos_err_e
 602                gsl_sf_atanint_e
 603                gsl_sf_atanint
 604                /;
 605 @EXPORT_zeta = qw/
 606                gsl_sf_zeta_int_e
 607                gsl_sf_zeta_int
 608                gsl_sf_zeta_e
 609                gsl_sf_zeta
 610                gsl_sf_zetam1_e
 611                gsl_sf_zetam1
 612                gsl_sf_zetam1_int_e
 613                gsl_sf_zetam1_int
 614                gsl_sf_hzeta_e
 615                gsl_sf_hzeta
 616                /;
 617 @EXPORT_eta = qw/
 618                gsl_sf_eta_int_e
 619                gsl_sf_eta_int
 620                gsl_sf_eta_e
 621                gsl_sf_eta
 622                /;
 623 @EXPORT_vars = qw/
 624                GSL_SF_GAMMA_XMAX
 625                GSL_SF_FACT_NMAX
 626                GSL_SF_DOUBLEFACT_NMAX
 627                GSL_SF_MATHIEU_COEFF
 628                /;
 629
 630 @EXPORT_OK = (
 631                @EXPORT_airy, @EXPORT_bessel, @EXPORT_clausen, @EXPORT_hydrogenic,
 632                @EXPORT_coulumb, @EXPORT_coupling, @EXPORT_dawson, @EXPORT_debye,
 633                @EXPORT_dilog, @EXPORT_misc, @EXPORT_elliptic, @EXPORT_error, @EXPORT_legendre,
 634                @EXPORT_gamma, @EXPORT_transport, @EXPORT_trig, @EXPORT_zeta, @EXPORT_eta,
 635                @EXPORT_vars
 636              );
 637
 638 %EXPORT_TAGS = (
 639                  all            => [ @EXPORT_OK ],
 640                  airy           => [ @EXPORT_airy ],
 641                  bessel         => [ @EXPORT_bessel ],
 642                  clausen        => [ @EXPORT_clausen ],
 643                  coulumb        => [ @EXPORT_coulumb ],
 644                  coupling       => [ @EXPORT_coupling ],
 645                  dawson         => [ @EXPORT_dawson ],
 646                  debye          => [ @EXPORT_debye ],
 647                  dilog          => [ @EXPORT_dilog ],
 648                  eta            => [ @EXPORT_eta ],
 649                  elliptic       => [ @EXPORT_elliptic ],
 650                  error          => [ @EXPORT_error ],
 651                  factorial      => [ @EXPORT_factorial ],
 652                  gamma          => [ @EXPORT_gamma ],
 653                  hydrogenic     => [ @EXPORT_hydrogenic ],
 654                  hypergeometric => [ @EXPORT_hypergeometric ],
 655                  laguerre       => [ @EXPORT_laguerre ],
 656                  legendre       => [ @EXPORT_legendre ],
 657                  mathieu        => [ @EXPORT_mathieu ],
 658                  misc           => [ @EXPORT_misc ],
 659                  transport      => [ @EXPORT_transport ],
 660                  trig           => [ @EXPORT_trig ],
 661                  vars           => [ @EXPORT_vars ],
 662                  zeta           => [ @EXPORT_zeta ],
 663                 );
 664
 665 __END__
 666
 667 =head1 NAME
 668
 669 Math::GSL::SF - Special Functions
 670
 671 =head1 SYNOPSIS
 672
 673     use Math::GSL::SF qw /:all/;
 674
 675 =head1 DESCRIPTION
 676
 677 This module contains a data structure named gsl_sf_result. To create a new one use
 678
 679     $r = Math::GSL::SF::gsl_sf_result_struct->new;
 680
 681 You can then access the elements of the structure in this way :
 682
 683     my $val   = $r->{val};
 684
 685     my $error = $r->{err};
 686
 687 Here is a list of all included functions:
 688
 689 =over
 690
 691 =item C<gsl_sf_airy_Ai_e($x, $mode)>
 692
 693 =item C<gsl_sf_airy_Ai($x, $mode, $result)>
 694
 695 - These routines compute the Airy function Ai($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 696
 697 =back
 698
 699 =over
 700
 701 =item C<gsl_sf_airy_Bi_e($x, $mode, $result)>
 702
 703 =item C<gsl_sf_airy_Bi($x, $mode)>
 704
 705 - These routines compute the Airy function Bi($x) with an accuracy specified by $mode. $mode should be $GSL_PREC_DOUBLE, $GSL_PREC_SINGLE or $GSL_PREC_APPROX. $result is a gsl_sf_result structure.
 706
 707 =back
 708
 709 =over
 710
 711 =item C<gsl_sf_airy_Ai_scaled_e($x, $mode, $result)>
 712
 713 =item C<gsl_sf_airy_Ai_scaled($x, $mode)>
 714
 715 - These routines compute a scaled version of the Airy function S_A($x) Ai($x). For $x>0 the scaling factor S_A($x) is \exp(+(2/3) $x**(3/2)), and is 1 for $x<0. $result is a gsl_sf_result structure.
 716
 717 =back
 718
 719 =over
 720
 721 =item C<gsl_sf_airy_Bi_scaled_e($x, $mode, $result)>
 722
 723 =item C<gsl_sf_airy_Bi_scaled($x, $mode)>
 724
 725 - These routines compute a scaled version of the Airy function S_B($x) Bi($x). For $x>0 the scaling factor S_B($x) is exp(-(2/3) $x**(3/2)), and is 1 for $x<0. $result is a gsl_sf_result structure.
 726
 727 =back
 728
 729 =over
 730
 731 =item C<gsl_sf_airy_Ai_deriv_e($x, $mode, $result)>
 732
 733 =item C<gsl_sf_airy_Ai_deriv($x, $mode)>
 734
 735 - These routines compute the Airy function derivative Ai'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
 736
 737 =back
 738
 739 =over
 740
 741 =item C<gsl_sf_airy_Bi_deriv_e($x, $mode, $result)>
 742
 743 =item C<gsl_sf_airy_Bi_deriv($x, $mode)>
 744
 745 -These routines compute the Airy function derivative Bi'($x) with an accuracy specified by $mode. $result is a gsl_sf_result structure.
 746
 747 =back
 748
 749 =over
 750
 751 =item C<gsl_sf_airy_Ai_deriv_scaled_e($x, $mode, $result)>
 752
 753 =item C<gsl_sf_airy_Ai_deriv_scaled($x, $mode)>
 754
 755 -These routines compute the scaled Airy function derivative S_A(x) Ai'(x). For x>0 the scaling factor S_A(x) is \exp(+(2/3) x^(3/2)), and is 1 for x<0. $result is a gsl_sf_result structure.
 756
 757 =back
 758
 759 =over
 760
 761 =item C<gsl_sf_airy_Bi_deriv_scaled_e($x, $mode, $result)>
 762
 763 =item C<gsl_sf_airy_Bi_deriv_scaled($x, $mode)>
 764
 765 -These routines compute the scaled Airy function derivative S_B(x) Bi'(x). For x>0 the scaling factor S_B(x) is exp(-(2/3) x^(3/2)), and is 1 for x<0. $result is a gsl_sf_result structure.
 766
 767 =back
 768
 769 =over
 770
 771 =item C<gsl_sf_airy_zero_Ai_e($s, $result)>
 772
 773 =item C<gsl_sf_airy_zero_Ai($s)>
 774
 775 -These routines compute the location of the s-th zero of the Airy function Ai($x). $result is a gsl_sf_result structure.
 776
 777 =back
 778
 779 =over
 780
 781 =item C<gsl_sf_airy_zero_Bi_e($s, $result)>
 782
 783 =item C<gsl_sf_airy_zero_Bi($s)>
 784
 785 -These routines compute the location of the s-th zero of the Airy function Bi($x). $result is a gsl_sf_result structure.
 786
 787 =back
 788
 789 =over
 790
 791 =item C<gsl_sf_airy_zero_Ai_deriv_e($s, $result)>
 792
 793 =item C<gsl_sf_airy_zero_Ai_deriv($s)>
 794
 795 -These routines compute the location of the s-th zero of the Airy function derivative Ai'(x). $result is a gsl_sf_result structure.
 796
 797 =back
 798
 799 =over
 800
 801 =item C<gsl_sf_airy_zero_Bi_deriv_e($s, $result)>
 802
 803 =item C<gsl_sf_airy_zero_Bi_deriv($s)>
 804
 805 - These routines compute the location of the s-th zero of the Airy function derivative Bi'(x). $result is a gsl_sf_result structure.
 806
 807 =back
 808
 809 =over
 810
 811 =item C<gsl_sf_bessel_J0_e($x, $result)>
 812
 813 =item C<gsl_sf_bessel_J0($x)>
 814
 815 -These routines compute the regular cylindrical Bessel function of zeroth order, J_0($x). $result is a gsl_sf_result structure.
 816
 817 =back
 818
 819 =over
 820
 821 =item C<gsl_sf_bessel_J1_e($x, $result)>
 822
 823 =item C<gsl_sf_bessel_J1($x)>
 824
 825 - These routines compute the regular cylindrical Bessel function of first order, J_1($x). $result is a gsl_sf_result structure.
 826
 827 =back
 828
 829 =over
 830
 831 =item C<gsl_sf_bessel_Jn_e($n, $x, $result)>
 832
 833 =item C<gsl_sf_bessel_Jn($n, $x)>
 834
 835 -These routines compute the regular cylindrical Bessel function of order n, J_n($x).
 836
 837 =back
 838
 839 =over
 840
 841 =item C<gsl_sf_bessel_Jn_array($nmin, $nmax, $x, $result_array)> - This routine computes the values of the regular cylindrical Bessel functions J_n($x) for n from $nmin to $nmax inclusive, storing the results in the array $result_array. The values are computed using recurrence relations for efficiency, and therefore may differ slightly from the exact values.
 842
 843 =back
 844
 845 =over
 846
 847 =item C<gsl_sf_bessel_Y0_e($x, $result)>
 848
 849 =item C<gsl_sf_bessel_Y0($x)>
 850
 851 - These routines compute the irregular spherical Bessel function of zeroth order, y_0(x) = -\cos(x)/x.
 852
 853 =back
 854
 855 =over
 856
 857 =item C<gsl_sf_bessel_Y1_e($x, $result)>
 858
 859 =item C<gsl_sf_bessel_Y1($x)>
 860
 861 -These routines compute the irregular spherical Bessel function of first order, y_1(x) = -(\cos(x)/x + \sin(x))/x.
 862
 863 =back
 864
 865 =over
 866
 867 =item C<gsl_sf_bessel_Yn_e>($n, $x, $result)
 868
 869 =item C<gsl_sf_bessel_Yn($n, $x)>
 870
 871 -These routines compute the irregular cylindrical Bessel function of order $n, Y_n(x), for x>0.
 872
 873 =back
 874
 875 =over
 876
 877 =item C<gsl_sf_bessel_Yn_array>
 878
 879 -
 880
 881 =back
 882
 883 =over
 884
 885 =item C<gsl_sf_bessel_I0_e($x, $result)>
 886
 887 =item C<gsl_sf_bessel_I0($x)>
 888
 889 -These routines compute the regular modified cylindrical Bessel function of zeroth order, I_0(x).
 890
 891 =back
 892
 893 =over
 894
 895 =item C<gsl_sf_bessel_I1_e($x, $result)>
 896
 897 =item C<gsl_sf_bessel_I1($x)>
 898
 899 -These routines compute the regular modified cylindrical Bessel function of first order, I_1(x).
 900
 901 =back
 902
 903 =over
 904
 905 =item C<gsl_sf_bessel_In_e($n, $x, $result)>
 906
 907 =item C<gsl_sf_bessel_In($n, $x)>
 908
 909 -These routines compute the regular modified cylindrical Bessel function of order $n, I_n(x).
 910
 911 =back
 912
 913 =over
 914
 915 =item C<gsl_sf_bessel_In_array>
 916
 917 -
 918
 919 =back
 920
 921 =over
 922
 923 =item C<gsl_sf_bessel_I0_scaled_e($x, $result)>
 924
 925 =item C<gsl_sf_bessel_I0_scaled($x)>
 926
 927 -These routines compute the scaled regular modified cylindrical Bessel function of zeroth order \exp(-|x|) I_0(x).
 928
 929 =back
 930
 931 =over
 932
 933 =item C<gsl_sf_bessel_I1_scaled_e($x, $result)>
 934
 935 =item C<gsl_sf_bessel_I1_scaled($x)>
 936
 937 -These routines compute the scaled regular modified cylindrical Bessel function of first order \exp(-|x|) I_1(x).
 938
 939 =back
 940
 941 =over
 942
 943 =item C<gsl_sf_bessel_In_scaled_e($n, $x, $result)>
 944
 945 =item C<gsl_sf_bessel_In_scaled($n, $x)>
 946
 947 -These routines compute the scaled regular modified cylindrical Bessel function of order $n, \exp(-|x|) I_n(x)
 948
 949 =back
 950
 951 =over
 952
 953 =item C<gsl_sf_bessel_In_scaled_array>
 954
 955 -
 956
 957 =back
 958
 959 =over
 960
 961 =item C<gsl_sf_bessel_K0_e($x, $result)>
 962
 963 =item C<gsl_sf_bessel_K0($x)>
 964
 965 -These routines compute the irregular modified cylindrical Bessel function of zeroth order, K_0(x), for x > 0.
 966
 967 =back
 968
 969 =over
 970
 971 =item C<gsl_sf_bessel_K1_e($x, $result)>
 972
 973 =item C<gsl_sf_bessel_K1($x)>
 974
 975 -These routines compute the irregular modified cylindrical Bessel function of first order, K_1(x), for x > 0.
 976
 977 =back
 978
 979 =over
 980
 981 =item C<gsl_sf_bessel_Kn_e($n, $x, $result)>
 982
 983 =item C<gsl_sf_bessel_Kn($n, $x)>
 984
 985 -These routines compute the irregular modified cylindrical Bessel function of order $n, K_n(x), for x > 0.
 986
 987 =back
 988
 989 =over
 990
 991 =item C<gsl_sf_bessel_Kn_array>
 992
 993 -
 994
 995 =back
 996
 997 =over
 998
 999 =item C<gsl_sf_bessel_K0_scaled_e($x, $result)>
1000
1001 =item C<gsl_sf_bessel_K0_scaled($x)>
1002
1003 -These routines compute the scaled irregular modified cylindrical Bessel function of zeroth order \exp(x) K_0(x) for x>0.
1004
1005 =back
1006
1007 =over
1008
1009 =item C<gsl_sf_bessel_K1_scaled_e($x, $result)>
1010
1011 =item C<gsl_sf_bessel_K1_scaled($x)>
1012
1013 -
1014
1015 =back
1016
1017 =over
1018
1019 =item C<gsl_sf_bessel_Kn_scaled_e($n, $x, $result)>
1020
1021 =item C<gsl_sf_bessel_Kn_scaled($n, $x)>
1022
1023 -
1024
1025 =back
1026
1027 =over
1028
1029 =item C<gsl_sf_bessel_Kn_scaled_array >
1030
1031 -
1032
1033 =back
1034
1035 =over
1036
1037 =item C<gsl_sf_bessel_j0_e($x, $result)>
1038
1039 =item C<gsl_sf_bessel_j0($x)>
1040
1041 -
1042
1043 =back
1044
1045 =over
1046
1047 =item C<gsl_sf_bessel_j1_e($x, $result)>
1048
1049 =item C<gsl_sf_bessel_j1($x)>
1050
1051 -
1052
1053 =back
1054
1055 =over
1056
1057 =item C<gsl_sf_bessel_j2_e($x, $result)>
1058
1059 =item C<gsl_sf_bessel_j2($x)>
1060
1061 -
1062
1063 =back
1064
1065 =over
1066
1067 =item C<gsl_sf_bessel_jl_e($l, $x, $result)>
1068
1069 =item C<gsl_sf_bessel_jl($l, $x)>
1070
1071 -
1072
1073 =back
1074
1075 =over
1076
1077 =item C<gsl_sf_bessel_jl_array>
1078
1079 -
1080
1081 =back
1082
1083 =over
1084
1085 =item C<gsl_sf_bessel_jl_steed_array>
1086
1087 -
1088
1089 =back
1090
1091 =over
1092
1093 =item C<gsl_sf_bessel_y0_e($x, $result)>
1094
1095 =item C<gsl_sf_bessel_y0($x)>
1096
1097 -
1098
1099 =back
1100
1101 =over
1102
1103 =item C<gsl_sf_bessel_y1_e($x, $result)>
1104
1105 =item C<gsl_sf_bessel_y1($x)>
1106
1107 -
1108
1109 =back
1110
1111 =over
1112
1113 =item C<gsl_sf_bessel_y2_e($x, $result)>
1114
1115 =item C<gsl_sf_bessel_y2($x)>
1116
1117 -
1118
1119 =back
1120
1121 =over
1122
1123 =item C<gsl_sf_bessel_yl_e($l, $x, $result)>
1124
1125 =item C<gsl_sf_bessel_yl($l, $x)>
1126
1127 -
1128
1129 =back
1130
1131 =over
1132
1133 =item C<gsl_sf_bessel_yl_array>
1134
1135 -
1136
1137 =back
1138
1139 =over
1140
1141 =item C<gsl_sf_bessel_i0_scaled_e($x, $result)>
1142
1143 =item C<gsl_sf_bessel_i0_scaled($x)>
1144
1145 -
1146
1147 =back
1148
1149 =over
1150
1151 =item C<gsl_sf_bessel_i1_scaled_e($x, $result)>
1152
1153 =item C<gsl_sf_bessel_i1_scaled($x)>
1154
1155 -
1156
1157 =back
1158
1159 =over
1160
1161 =item C<gsl_sf_bessel_i2_scaled_e($x, $result)>
1162
1163 =item C<gsl_sf_bessel_i2_scaled($x)>
1164
1165 -
1166
1167 =back
1168
1169 =over
1170
1171 =item C<gsl_sf_bessel_il_scaled_e($l, $x, $result)>
1172
1173 =item C<gsl_sf_bessel_il_scaled($x)>
1174
1175 -
1176
1177 =back
1178
1179 =over
1180
1181 =item C<gsl_sf_bessel_il_scaled_array>
1182
1183 -
1184
1185 =back
1186
1187 =over
1188
1189 =item C<gsl_sf_bessel_k0_scaled_e($x, $result)>
1190
1191 =item C<gsl_sf_bessel_k0_scale($x)>
1192
1193 -
1194
1195 =back
1196
1197 =over
1198
1199 =item C<gsl_sf_bessel_k1_scaled_e($x, $result)>
1200
1201 =item C<gsl_sf_bessel_k1_scaled($x)>
1202
1203 -
1204
1205 =back
1206
1207 =over
1208
1209 =item C<gsl_sf_bessel_k2_scaled_e($x, $result) >
1210
1211 =item C<gsl_sf_bessel_k2_scaled($x)>
1212
1213 -
1214
1215 =back
1216
1217 =over
1218
1219 =item C<gsl_sf_bessel_kl_scaled_e($l, $x, $result)>
1220
1221 =item C<gsl_sf_bessel_kl_scaled($l, $x)>
1222
1223 -
1224
1225 =back
1226
1227 =over
1228
1229 =item C<gsl_sf_bessel_kl_scaled_array>
1230
1231 -
1232
1233 =back
1234
1235 =over
1236
1237 =item C<gsl_sf_bessel_Jnu_e($nu, $x, $result)>
1238
1239 =item C<gsl_sf_bessel_Jnu($nu, $x)>
1240
1241 -
1242
1243 =back
1244
1245 =over
1246
1247 =item C<gsl_sf_bessel_sequence_Jnu_e >
1248
1249 -
1250
1251 =back
1252
1253 =over
1254
1255 =item C<gsl_sf_bessel_Ynu_e($nu, $x, $result)>
1256
1257 =item C<gsl_sf_bessel_Ynu($nu, $x)>
1258
1259 -
1260
1261 =back
1262
1263 =over
1264
1265 =item C<gsl_sf_bessel_Inu_scaled_e($nu, $x, $result)>
1266
1267 =item C<gsl_sf_bessel_Inu_scaled($nu, $x)>
1268
1269 -
1270
1271 =back
1272
1273 =over
1274
1275 =item C<gsl_sf_bessel_Inu_e($nu, $x, $result)>
1276
1277 =item C<gsl_sf_bessel_Inu($nu, $x)>
1278
1279 -
1280
1281 =back
1282
1283 =over
1284
1285 =item C<gsl_sf_bessel_Knu_scaled_e($nu, $x, $result)>
1286
1287 =item C<gsl_sf_bessel_Knu_scaled($nu, $x)>
1288
1289 -
1290
1291 =back
1292
1293 =over
1294
1295 =item C<gsl_sf_bessel_Knu_e($nu, $x, $result)>
1296
1297 =item C<gsl_sf_bessel_Knu($nu, $x)>
1298
1299 -
1300
1301 =back
1302
1303 =over
1304
1305 =item C<gsl_sf_bessel_lnKnu_e($nu, $x, $result)>
1306
1307 =item C<gsl_sf_bessel_lnKnu($nu, $x)>
1308
1309 -
1310
1311 =back
1312
1313 =over
1314
1315 =item C<gsl_sf_bessel_zero_J0_e($s, $result)>
1316
1317 =item C<gsl_sf_bessel_zero_J0($s)>
1318
1319 -
1320
1321 =back
1322
1323 =over
1324
1325 =item C<gsl_sf_bessel_zero_J1_e($s, $result)>
1326
1327 =item C<gsl_sf_bessel_zero_J1($s)>
1328
1329 -
1330
1331 =back
1332
1333 =over
1334
1335 =item C<gsl_sf_bessel_zero_Jnu_e($nu, $s, $result)>
1336
1337 =item C<gsl_sf_bessel_zero_Jnu($nu, $s)>
1338
1339 -
1340
1341 =back
1342
1343 =over
1344
1345 =item C<gsl_sf_clausen_e($x, $result)>
1346
1347 =item C<gsl_sf_clausen($x)>
1348
1349 -
1350
1351 =back
1352
1353 =over
1354
1355 =item C<gsl_sf_hydrogenicR_1_e($Z, $r, $result)>
1356
1357 =item C<gsl_sf_hydrogenicR_1($Z, $r)>
1358
1359 -
1360
1361 =back
1362
1363 =over
1364
1365 =item C<gsl_sf_hydrogenicR_e($n, $l, $Z, $r, $result)>
1366
1367 =item C<gsl_sf_hydrogenicR($n, $l, $Z, $r)>
1368
1369 -
1370
1371 =back
1372
1373 =over
1374
1375 =item C<gsl_sf_coulomb_wave_FG_e($eta, $x, $L_F, $k, $F, gsl_sf_result * Fp, gsl_sf_result * G, $Gp)> - This function computes the Coulomb wave functions F_L(\eta,x), G_{L-k}(\eta,x) and their derivatives F'_L(\eta,x), G'_{L-k}(\eta,x) with respect to $x. The parameters are restricted to L, L-k > -1/2, x > 0 and integer $k. Note that L itself is not restricted to being an integer. The results are stored in the parameters $F, $G for the function values and $Fp, $Gp for the derivative values. $F, $G, $Fp, $Gp are all gsl_result structs. If an overflow occurs, $GSL_EOVRFLW is returned and scaling exponents are returned as second and third values.
1376
1377 =item C<gsl_sf_coulomb_wave_F_array > -
1378
1379 =item C<gsl_sf_coulomb_wave_FG_array> -
1380
1381 =item C<gsl_sf_coulomb_wave_FGp_array> -
1382
1383 =item C<gsl_sf_coulomb_wave_sphF_array> -
1384
1385 =item C<gsl_sf_coulomb_CL_e($L, $eta, $result)> - This function computes the Coulomb wave function normalization constant C_L($eta) for $L > -1.
1386
1387 =item C<gsl_sf_coulomb_CL_arrayi> -
1388
1389 =back
1390
1391 =over
1392
1393 =item C<gsl_sf_coupling_3j_e($two_ja, $two_jb, $two_jc, $two_ma, $two_mb, $two_mc, $result)>
1394
1395 =item C<gsl_sf_coupling_3j($two_ja, $two_jb, $two_jc, $two_ma, $two_mb, $two_mc)>
1396
1397 - These routines compute the Wigner 3-j coefficient,
1398    (ja jb jc
1399     ma mb mc)
1400  where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
1401
1402 =back
1403
1404 =over
1405
1406 =item C<gsl_sf_coupling_6j_e($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $result)>
1407
1408 =item C<gsl_sf_coupling_6j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf)>
1409
1410 - These routines compute the Wigner 6-j coefficient,
1411    {ja jb jc
1412     jd je jf}
1413  where the arguments are given in half-integer units, ja = $two_ja/2, ma = $two_ma/2, etc.
1414
1415 =back
1416
1417 =over
1418
1419 =item C<gsl_sf_coupling_RacahW_e>
1420
1421 =item C<gsl_sf_coupling_RacahW>
1422
1423 -
1424
1425 =back
1426
1427 =over
1428
1429 =item C<gsl_sf_coupling_9j_e($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $two_jg, $two_jh, $two_ji, $result)>
1430
1431 =item C<gsl_sf_coupling_9j($two_ja, $two_jb, $two_jc, $two_jd, $two_je, $two_jf, $two_jg, $two_jh, $two_ji)>
1432
1433 -These routines compute the Wigner 9-j coefficient,
1434
1435           {ja jb jc
1436            jd je jf
1437            jg jh ji}
1438  where the arguments are given in half-integer units, ja = two_ja/2, ma = two_ma/2, etc.
1439
1440 =back
1441
1442 =over
1443
1444 =item C<gsl_sf_dawson_e($x, $result)>
1445
1446 =item C<gsl_sf_dawson($x)>
1447
1448 -These routines compute the value of Dawson's integral for $x.
1449
1450 =back
1451
1452 =over
1453
1454 =item C<gsl_sf_debye_1_e($x, $result)>
1455
1456 =item C<gsl_sf_debye_1($x)>
1457
1458 -These routines compute the first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1)).
1459
1460 =back
1461
1462 =over
1463
1464 =item C<gsl_sf_debye_2_e($x, $result)>
1465
1466 =item C<gsl_sf_debye_2($x)>
1467
1468 -These routines compute the second-order Debye function D_2(x) = (2/x^2) \int_0^x dt (t^2/(e^t - 1)).
1469
1470 =back
1471
1472 =over
1473
1474 =item C<gsl_sf_debye_3_e($x, $result)>
1475
1476 =item C<gsl_sf_debye_3($x)>
1477
1478 -These routines compute the third-order Debye function D_3(x) = (3/x^3) \int_0^x dt (t^3/(e^t - 1)).
1479
1480 =back
1481
1482 =over
1483
1484 =item C<gsl_sf_debye_4_e($x, $result)>
1485
1486 =item C<gsl_sf_debye_4($x)>
1487
1488 -These routines compute the fourth-order Debye function D_4(x) = (4/x^4) \int_0^x dt (t^4/(e^t - 1)).
1489
1490 =back
1491
1492 =over
1493
1494 =item C<gsl_sf_debye_5_e($x, $result)>
1495
1496 =item C<gsl_sf_debye_5($x)>
1497
1498 -These routines compute the fifth-order Debye function D_5(x) = (5/x^5) \int_0^x dt (t^5/(e^t - 1)).
1499
1500 =back
1501
1502 =over
1503
1504 =item C<gsl_sf_debye_6_e($x, $result)>
1505
1506 =item C<gsl_sf_debye_6($x)>
1507
1508 -These routines compute the sixth-order Debye function D_6(x) = (6/x^6) \int_0^x dt (t^6/(e^t - 1)).
1509
1510 =back
1511
1512 =over
1513
1514 =item C<gsl_sf_dilog_e ($x, $result)>
1515
1516 =item C<gsl_sf_dilog($x)>
1517
1518 - These routines compute the dilogarithm for a real argument. In Lewin's notation this is Li_2(x), the real part of the dilogarithm of a real x. It is defined by the integral representation Li_2(x) = - \Re \int_0^x ds \log(1-s) / s. Note that \Im(Li_2(x)) = 0 for x <= 1, and -\pi\log(x) for x > 1. Note that Abramowitz & Stegun refer to the Spence integral S(x)=Li_2(1-x) as the dilogarithm rather than Li_2(x).
1519
1520 =back
1521
1522 =over
1523
1524 =item C<gsl_sf_complex_dilog_xy_e> -
1525
1526 =item C<gsl_sf_complex_dilog_e($r, $theta, $result_re, $result_im)> - This function computes the full complex-valued dilogarithm for the complex argument z = r \exp(i \theta). The real and imaginary parts of the result are returned in the $result_re and $result_im gsl_result structs.
1527
1528 =item C<gsl_sf_complex_spence_xy_e> -
1529
1530 =back
1531
1532 =over
1533
1534 =item C<gsl_sf_multiply>
1535
1536 =item C<gsl_sf_multiply_e($x, $y, $result)> - This function multiplies $x and $y storing the product and its associated error in $result.
1537
1538 =item C<gsl_sf_multiply_err_e($x, $dx, $y, $dy, $result)> - This function multiplies $x and $y with associated absolute errors $dx and $dy. The product xy +/- xy \sqrt((dx/x)^2 +(dy/y)^2) is stored in $result.
1539
1540 -
1541
1542 =back
1543
1544 =over
1545
1546
1547 =item C<gsl_sf_ellint_Kcomp_e($k, $mode, $result)>
1548
1549 =item C<gsl_sf_ellint_Kcomp($k, $mode)>
1550
1551 -These routines compute the complete elliptic integral K($k) to the accuracy specified by the mode variable mode. Note that Abramowitz & Stegun define this function in terms of the parameter m = k^2.
1552
1553 =back
1554
1555 =over
1556
1557 =item C<gsl_sf_ellint_Ecomp_e>
1558
1559 =item C<gsl_sf_ellint_Ecomp>
1560
1561 -
1562
1563 =back
1564
1565 =over
1566
1567 =item C<gsl_sf_ellint_Pcomp_e >
1568
1569 =item C<gsl_sf_ellint_Pcomp>
1570
1571 -
1572
1573 =back
1574
1575 =over
1576
1577 =item C<gsl_sf_ellint_Dcomp_e>
1578
1579 =item C<gsl_sf_ellint_Dcomp >
1580
1581 -
1582
1583 =back
1584
1585 =over
1586
1587 =item C<gsl_sf_ellint_F_e>
1588
1589 =item C<gsl_sf_ellint_F>
1590
1591 -
1592
1593 =back
1594
1595 =over
1596
1597 =item C<gsl_sf_ellint_E_e>
1598
1599 =item C<gsl_sf_ellint_E>
1600
1601 -
1602
1603 =back
1604
1605 =over
1606
1607 =item C<gsl_sf_ellint_P_e>
1608
1609 =item C<gsl_sf_ellint_P>
1610
1611 -
1612
1613 =back
1614
1615 =over
1616
1617 =item C<gsl_sf_ellint_D_e>
1618
1619 =item C<gsl_sf_ellint_D>
1620
1621 -
1622
1623 =back
1624
1625 =over
1626
1627 =item C<gsl_sf_ellint_RC_e >
1628
1629 =item C<gsl_sf_ellint_RC>
1630
1631 -
1632
1633 =back
1634
1635 =over
1636
1637 =item C<gsl_sf_ellint_RD_e>
1638
1639 =item C<gsl_sf_ellint_RD >
1640
1641 -
1642
1643 =back
1644
1645 =over
1646
1647 =item C<gsl_sf_ellint_RF_e>
1648
1649 =item C<gsl_sf_ellint_RF>
1650
1651 -
1652
1653 =back
1654
1655 =over
1656
1657 =item C<gsl_sf_ellint_RJ_e >
1658
1659 =item C<gsl_sf_ellint_RJ>
1660
1661 -
1662
1663 =back
1664
1665 =over
1666
1667 =item C<gsl_sf_elljac_e($u, $m)> - This function computes the Jacobian elliptic functions sn(u|m), cn(u|m), dn(u|m) by descending Landen transformations. The function returns 0 if the operation succeded, 1 otherwise and then returns the result of sn, cn and dn in this order.
1668
1669 =item C<gsl_sf_erfc_e >
1670
1671 =item C<gsl_sf_erfc>
1672
1673 -
1674
1675 =back
1676
1677 =over
1678
1679 =item C<gsl_sf_log_erfc_e>
1680
1681 =item C<gsl_sf_log_erfc >
1682
1683 -
1684
1685 =back
1686
1687 =over
1688
1689 =item C<gsl_sf_erf_e>
1690
1691 =item C<gsl_sf_erf>
1692
1693 -
1694
1695 =back
1696
1697 =over
1698
1699 =item C<gsl_sf_erf_Z_e >
1700
1701 =item C<gsl_sf_erf_Z>
1702
1703 -
1704
1705 =back
1706
1707 =over
1708
1709 =item C<gsl_sf_erf_Q_e>
1710
1711 =item C<gsl_sf_erf_Q >
1712
1713 -
1714
1715 =back
1716
1717 =over
1718
1719 =item C<gsl_sf_hazard_e>
1720
1721 =item C<gsl_sf_hazard>
1722
1723 -
1724
1725 =back
1726
1727 =over
1728
1729 =item C<gsl_sf_exp_e >
1730
1731 =item C<gsl_sf_exp>
1732
1733 -
1734
1735 =back
1736
1737 =over
1738
1739 =item C<gsl_sf_exp_e10_e> -
1740
1741 =item C<gsl_sf_exp_mult_e >
1742
1743 =item C<gsl_sf_exp_mult>
1744
1745 -
1746
1747 =back
1748
1749 =over
1750
1751 =item C<gsl_sf_exp_mult_e10_e> -
1752
1753 =item C<gsl_sf_expm1_e >
1754
1755 =item C<gsl_sf_expm1>
1756
1757 -
1758
1759 =back
1760
1761 =over
1762
1763 =item C<gsl_sf_exprel_e>
1764
1765 =item C<gsl_sf_exprel >
1766
1767 -
1768
1769 =back
1770
1771 =over
1772
1773 =item C<gsl_sf_exprel_2_e>
1774
1775 =item C<gsl_sf_exprel_2>
1776
1777 -
1778
1779 =back
1780
1781 =over
1782
1783 =item C<gsl_sf_exprel_n_e >
1784
1785 =item C<gsl_sf_exprel_n>
1786
1787 -
1788
1789 =back
1790
1791 =over
1792
1793 =item C<gsl_sf_exp_err_e> -
1794
1795 =item C<gsl_sf_exp_err_e10_e > -
1796
1797 =item C<gsl_sf_exp_mult_err_e> -
1798
1799 =item C<gsl_sf_exp_mult_err_e10_e> -
1800
1801 =item C<gsl_sf_expint_E1_e >
1802
1803 =item C<gsl_sf_expint_E1>
1804
1805 -
1806
1807 =back
1808
1809 =over
1810
1811 =item C<gsl_sf_expint_E2_e>
1812
1813 =item C<gsl_sf_expint_E2 >
1814
1815 -
1816
1817 =back
1818
1819 =over
1820
1821 =item C<gsl_sf_expint_En_e>
1822
1823 =item C<gsl_sf_expint_En>
1824
1825 -
1826
1827 =back
1828
1829 =over
1830
1831 =item C<gsl_sf_expint_E1_scaled_e >
1832
1833 =item C<gsl_sf_expint_E1_scaled>
1834
1835 -
1836
1837 =back
1838
1839 =over
1840
1841 =item C<gsl_sf_expint_E2_scaled_e>
1842
1843 =item C<gsl_sf_expint_E2_scaled >
1844
1845 -
1846
1847 =back
1848
1849 =over
1850
1851 =item C<gsl_sf_expint_En_scaled_e>
1852
1853 =item C<gsl_sf_expint_En_scaled>
1854
1855 -
1856
1857 =back
1858
1859 =over
1860
1861 =item C<gsl_sf_expint_Ei_e >
1862
1863 =item C<gsl_sf_expint_Ei>
1864
1865 -
1866
1867 =back
1868
1869 =over
1870
1871 =item C<gsl_sf_expint_Ei_scaled_e>
1872
1873 =item C<gsl_sf_expint_Ei_scaled >
1874
1875 -
1876
1877 =back
1878
1879 =over
1880
1881 =item C<gsl_sf_Shi_e>
1882
1883 =item C<gsl_sf_Shi>
1884
1885 -
1886
1887 =back
1888
1889 =over
1890
1891 =item C<gsl_sf_Chi_e >
1892
1893 =item C<gsl_sf_Chi>
1894
1895 -
1896
1897 =back
1898
1899 =over
1900
1901 =item C<gsl_sf_expint_3_e>
1902
1903 =item C<gsl_sf_expint_3 >
1904
1905 -
1906
1907 =back
1908
1909 =over
1910
1911 =item C<gsl_sf_Si_e>
1912
1913 =item C<gsl_sf_Si>
1914
1915 -
1916
1917 =back
1918
1919 =over
1920
1921 =item C<gsl_sf_Ci_e >
1922
1923 =item C<gsl_sf_Ci>
1924
1925 -
1926
1927 =back
1928
1929 =over
1930
1931 =item C<gsl_sf_fermi_dirac_m1_e>
1932
1933 =item C<gsl_sf_fermi_dirac_m1 >
1934
1935 -
1936
1937 =back
1938
1939 =over
1940
1941 =item C<gsl_sf_fermi_dirac_0_e>
1942
1943 =item C<gsl_sf_fermi_dirac_0>
1944
1945 -
1946
1947 =back
1948
1949 =over
1950
1951 =item C<gsl_sf_fermi_dirac_1_e >
1952
1953 =item C<gsl_sf_fermi_dirac_1>
1954
1955 -
1956
1957 =back
1958
1959 =over
1960
1961 =item C<gsl_sf_fermi_dirac_2_e>
1962
1963 =item C<gsl_sf_fermi_dirac_2 >
1964
1965 -
1966
1967 =back
1968
1969 =over
1970
1971 =item C<gsl_sf_fermi_dirac_int_e>
1972
1973 =item C<gsl_sf_fermi_dirac_int>
1974
1975 -
1976
1977 =back
1978
1979 =over
1980
1981 =item C<gsl_sf_fermi_dirac_mhalf_e >
1982
1983 =item C<gsl_sf_fermi_dirac_mhalf>
1984
1985 -
1986
1987 =back
1988
1989 =over
1990
1991 =item C<gsl_sf_fermi_dirac_half_e>
1992
1993 =item C<gsl_sf_fermi_dirac_half >
1994
1995 -
1996
1997 =back
1998
1999 =over
2000
2001 =item C<gsl_sf_fermi_dirac_3half_e>
2002
2003 =item C<gsl_sf_fermi_dirac_3half>
2004
2005 -
2006
2007 =back
2008
2009 =over
2010
2011 =item C<gsl_sf_fermi_dirac_inc_0_e >
2012
2013 =item C<gsl_sf_fermi_dirac_inc_0>
2014
2015 -
2016
2017 =back
2018
2019 =over
2020
2021 =item C<gsl_sf_legendre_Pl_e>
2022
2023 =item C<gsl_sf_legendre_Pl >
2024
2025 -
2026
2027 =back
2028
2029 =over
2030
2031 =item C<gsl_sf_legendre_Pl_array>
2032
2033 =item C<gsl_sf_legendre_Pl_deriv_array>
2034
2035 -
2036
2037 =back
2038
2039 =over
2040
2041 =item C<gsl_sf_legendre_P1_e >
2042
2043 =item C<gsl_sf_legendre_P2_e>
2044
2045 =item C<gsl_sf_legendre_P3_e>
2046
2047 =item C<gsl_sf_legendre_P1 >
2048
2049 =item C<gsl_sf_legendre_P2>
2050
2051 =item C<gsl_sf_legendre_P3>
2052
2053 -
2054
2055 =back
2056
2057 =over
2058
2059 =item C<gsl_sf_legendre_Q0_e >
2060
2061 =item C<gsl_sf_legendre_Q0>
2062
2063 -
2064
2065 =back
2066
2067 =over
2068
2069 =item C<gsl_sf_legendre_Q1_e>
2070
2071 =item C<gsl_sf_legendre_Q1 >
2072
2073 -
2074
2075 =back
2076
2077 =over
2078
2079 =item C<gsl_sf_legendre_Ql_e>
2080
2081 =item C<gsl_sf_legendre_Ql>
2082
2083 -
2084
2085 =back
2086
2087 =over
2088
2089 =item C<gsl_sf_legendre_Plm_e >
2090
2091 =item C<gsl_sf_legendre_Plm>
2092
2093 -
2094
2095 =back
2096
2097 =over
2098
2099 =item C<gsl_sf_legendre_Plm_array>
2100
2101 =item C<gsl_sf_legendre_Plm_deriv_array >
2102
2103 -
2104
2105 =back
2106
2107 =over
2108
2109 =item C<gsl_sf_legendre_sphPlm_e>
2110
2111 =item C<gsl_sf_legendre_sphPlm>
2112
2113 -
2114
2115 =back
2116
2117 =over
2118
2119 =item C<gsl_sf_legendre_sphPlm_array >
2120
2121 =item C<gsl_sf_legendre_sphPlm_deriv_array>
2122
2123 -
2124
2125 =back
2126
2127 =over
2128
2129 =item C<gsl_sf_legendre_array_size> -
2130
2131 =item C<gsl_sf_lngamma_e >
2132
2133 =item C<gsl_sf_lngamma>
2134
2135 -
2136
2137 =back
2138
2139 =over
2140
2141 =item C<gsl_sf_lngamma_sgn_e>
2142
2143 =item C<gsl_sf_gamma_e >
2144
2145 =item C<gsl_sf_gamma>
2146
2147 =item C<gsl_sf_gammastar_e>
2148
2149 =item C<gsl_sf_gammastar >
2150
2151 =item C<gsl_sf_gammainv_e>
2152
2153 =item C<gsl_sf_gammainv>
2154
2155 =item C<gsl_sf_lngamma_complex_e >
2156
2157 =item C<gsl_sf_gamma_inc_Q_e>
2158
2159 =item C<gsl_sf_gamma_inc_Q>
2160
2161 =item C<gsl_sf_gamma_inc_P_e >
2162
2163 =item C<gsl_sf_gamma_inc_P>
2164
2165 =item C<gsl_sf_gamma_inc_e>
2166
2167 =item C<gsl_sf_gamma_inc >
2168
2169 =item C<gsl_sf_taylorcoeff_e>
2170
2171 =item C<gsl_sf_taylorcoeff>
2172
2173 =item C<gsl_sf_fact_e >
2174
2175 =item C<gsl_sf_fact>
2176
2177 =item C<gsl_sf_doublefact_e>
2178
2179 =item C<gsl_sf_doublefact >
2180
2181 =item C<gsl_sf_lnfact_e>
2182
2183 =item C<gsl_sf_lnfact>
2184
2185 =item C<gsl_sf_lndoublefact_e >
2186
2187 =item C<gsl_sf_lndoublefact>
2188
2189 =item C<gsl_sf_lnchoose_e>
2190
2191 =item C<gsl_sf_lnchoose >
2192
2193 =item C<gsl_sf_choose_e>
2194
2195 =item C<gsl_sf_choose>
2196
2197 =item C<gsl_sf_lnpoch_e >
2198
2199 =item C<gsl_sf_lnpoch>
2200
2201 =item C<gsl_sf_lnpoch_sgn_e>
2202
2203 =item C<gsl_sf_poch_e >
2204
2205 =item C<gsl_sf_poch>
2206
2207 =item C<gsl_sf_pochrel_e>
2208
2209 =item C<gsl_sf_pochrel >
2210
2211 =item C<gsl_sf_lnbeta_e>
2212
2213 =item C<gsl_sf_lnbeta>
2214
2215 =item C<gsl_sf_lnbeta_sgn_e >
2216
2217 =item C<gsl_sf_beta_e>
2218
2219 =item C<gsl_sf_beta>
2220
2221 =item C<gsl_sf_beta_inc_e >
2222
2223 =item C<gsl_sf_beta_inc>
2224
2225 =item C<gsl_sf_gegenpoly_1_e>
2226
2227 =item C<gsl_sf_gegenpoly_2_e >
2228
2229 =item C<gsl_sf_gegenpoly_3_e>
2230
2231 =item C<gsl_sf_gegenpoly_1>
2232
2233 =item C<gsl_sf_gegenpoly_2 >
2234
2235 =item C<gsl_sf_gegenpoly_3>
2236
2237 =item C<gsl_sf_gegenpoly_n_e>
2238
2239 =item C<gsl_sf_gegenpoly_n >
2240
2241 =item C<gsl_sf_gegenpoly_array>
2242
2243 =item C<gsl_sf_hyperg_0F1_e>
2244
2245 =item C<gsl_sf_hyperg_0F1 >
2246
2247 =item C<gsl_sf_hyperg_1F1_int_e>
2248
2249 =item C<gsl_sf_hyperg_1F1_int>
2250
2251 =item C<gsl_sf_hyperg_1F1_e >
2252
2253 =item C<gsl_sf_hyperg_1F1>
2254
2255 =item C<gsl_sf_hyperg_U_int_e>
2256
2257 =item C<gsl_sf_hyperg_U_int >
2258
2259 =item C<gsl_sf_hyperg_U_int_e10_e>
2260
2261 =item C<gsl_sf_hyperg_U_e>
2262
2263 =item C<gsl_sf_hyperg_U >
2264
2265 =item C<gsl_sf_hyperg_U_e10_e>
2266
2267 =item C<gsl_sf_hyperg_2F1_e>
2268
2269 =item C<gsl_sf_hyperg_2F1 >
2270
2271 =item C<gsl_sf_hyperg_2F1_conj_e>
2272
2273 =item C<gsl_sf_hyperg_2F1_conj>
2274
2275 =item C<gsl_sf_hyperg_2F1_renorm_e >
2276
2277 =item C<gsl_sf_hyperg_2F1_renorm>
2278
2279 =item C<gsl_sf_hyperg_2F1_conj_renorm_e>
2280
2281 =item C<gsl_sf_hyperg_2F1_conj_renorm >
2282
2283 =item C<gsl_sf_hyperg_2F0_e>
2284
2285 =item C<gsl_sf_hyperg_2F0>
2286
2287 =item C<gsl_sf_laguerre_1_e >
2288
2289 =item C<gsl_sf_laguerre_2_e>
2290
2291 =item C<gsl_sf_laguerre_3_e>
2292
2293 =item C<gsl_sf_laguerre_1 >
2294
2295 =item C<gsl_sf_laguerre_2>
2296
2297 =item C<gsl_sf_laguerre_3>
2298
2299 =item C<gsl_sf_laguerre_n_e >
2300
2301 =item C<gsl_sf_laguerre_n>
2302
2303 =item C<gsl_sf_lambert_W0_e>
2304
2305 =item C<gsl_sf_lambert_W0 >
2306
2307 =item C<gsl_sf_lambert_Wm1_e>
2308
2309 =item C<gsl_sf_lambert_Wm1>
2310
2311 =item C<gsl_sf_conicalP_half_e >
2312
2313 =item C<gsl_sf_conicalP_half>
2314
2315 =item C<gsl_sf_conicalP_mhalf_e>
2316
2317 =item C<gsl_sf_conicalP_mhalf >
2318
2319 =item C<gsl_sf_conicalP_0_e>
2320
2321 =item C<gsl_sf_conicalP_0>
2322
2323 =item C<gsl_sf_conicalP_1_e >
2324
2325 =item C<gsl_sf_conicalP_1>
2326
2327 =item C<gsl_sf_conicalP_sph_reg_e>
2328
2329 =item C<gsl_sf_conicalP_sph_reg >
2330
2331 =item C<gsl_sf_conicalP_cyl_reg_e>
2332
2333 =item C<gsl_sf_conicalP_cyl_reg>
2334
2335 =item C<gsl_sf_legendre_H3d_0_e >
2336
2337 =item C<gsl_sf_legendre_H3d_0>
2338
2339 =item C<gsl_sf_legendre_H3d_1_e>
2340
2341 =item C<gsl_sf_legendre_H3d_1 >
2342
2343 =item C<gsl_sf_legendre_H3d_e>
2344
2345 =item C<gsl_sf_legendre_H3d>
2346
2347 =item C<gsl_sf_legendre_H3d_array >
2348
2349 =item C<gsl_sf_log_e>
2350
2351 =item C<gsl_sf_log>
2352
2353 =item C<gsl_sf_log_abs_e >
2354
2355 =item C<gsl_sf_log_abs>
2356
2357 =item C<gsl_sf_complex_log_e>
2358
2359 =item C<gsl_sf_log_1plusx_e >
2360
2361 =item C<gsl_sf_log_1plusx>
2362
2363 =item C<gsl_sf_log_1plusx_mx_e>
2364
2365 =item C<gsl_sf_log_1plusx_mx >
2366
2367 =item C<gsl_sf_mathieu_a_array>
2368
2369 =item C<gsl_sf_mathieu_b_array>
2370
2371 =item C<gsl_sf_mathieu_a >
2372
2373 =item C<gsl_sf_mathieu_b>
2374
2375 =item C<gsl_sf_mathieu_a_coeff>
2376
2377 =item C<gsl_sf_mathieu_b_coeff >
2378
2379 =item C<gsl_sf_mathieu_alloc>
2380
2381 =item C<gsl_sf_mathieu_free>
2382
2383 =item C<gsl_sf_mathieu_ce >
2384
2385 =item C<gsl_sf_mathieu_se>
2386
2387 =item C<gsl_sf_mathieu_ce_array>
2388
2389 =item C<gsl_sf_mathieu_se_array >
2390
2391 =item C<gsl_sf_mathieu_Mc>
2392
2393 =item C<gsl_sf_mathieu_Ms>
2394
2395 =item C<gsl_sf_mathieu_Mc_array >
2396
2397 =item C<gsl_sf_mathieu_Ms_array>
2398
2399 =item C<gsl_sf_pow_int_e>
2400
2401 =item C<gsl_sf_pow_int >
2402
2403 =item C<gsl_sf_psi_int_e>
2404
2405 =item C<gsl_sf_psi_int>
2406
2407 =item C<gsl_sf_psi_e >
2408
2409 =item C<gsl_sf_psi>
2410
2411 =item C<gsl_sf_psi_1piy_e>
2412
2413 =item C<gsl_sf_psi_1piy >
2414
2415 =item C<gsl_sf_complex_psi_e gsl_sf_psi_1_int_e>
2416
2417 =item C<gsl_sf_psi_1_int >
2418
2419 =item C<gsl_sf_psi_1_e >
2420
2421 =item C<gsl_sf_psi_1>
2422
2423 =item C<gsl_sf_psi_n_e >
2424
2425 =item C<gsl_sf_psi_n>
2426
2427 =item C<gsl_sf_result_smash_e>
2428
2429 =item C<gsl_sf_synchrotron_1_e >
2430
2431 =item C<gsl_sf_synchrotron_1>
2432
2433 =item C<gsl_sf_synchrotron_2_e>
2434
2435 =item C<gsl_sf_synchrotron_2 >
2436
2437 =item C<gsl_sf_transport_2_e>
2438
2439 =item C<gsl_sf_transport_2>
2440
2441 =item C<gsl_sf_transport_3_e >
2442
2443 =item C<gsl_sf_transport_3>
2444
2445 =item C<gsl_sf_transport_4_e>
2446
2447 =item C<gsl_sf_transport_4 >
2448
2449 =item C<gsl_sf_transport_5_e>
2450
2451 =item C<gsl_sf_transport_5>
2452
2453 =item C<gsl_sf_sin_e >
2454
2455 =item C<gsl_sf_sin>
2456
2457 =item C<gsl_sf_cos_e>
2458
2459 =item C<gsl_sf_cos >
2460
2461 =item C<gsl_sf_hypot_e>
2462
2463 =item C<gsl_sf_hypot>
2464
2465 =item C<gsl_sf_complex_sin_e >
2466
2467 =item C<gsl_sf_complex_cos_e>
2468
2469 =item C<gsl_sf_complex_logsin_e>
2470
2471 =item C<gsl_sf_sinc_e >
2472
2473 =item C<gsl_sf_sinc>
2474
2475 =item C<gsl_sf_lnsinh_e>
2476
2477 =item C<gsl_sf_lnsinh >
2478
2479 =item C<gsl_sf_lncosh_e>
2480
2481 =item C<gsl_sf_lncosh>
2482
2483 =item C<gsl_sf_polar_to_rect >
2484
2485 =item C<gsl_sf_rect_to_polar>
2486
2487 =item C<gsl_sf_sin_err_e>
2488
2489 =item C<gsl_sf_cos_err_e >
2490
2491 =item C<gsl_sf_angle_restrict_symm_e>
2492
2493 =item C<gsl_sf_angle_restrict_symm>
2494
2495 =item C<gsl_sf_angle_restrict_pos_e >
2496
2497 =item C<gsl_sf_angle_restrict_pos>
2498
2499 =item C<gsl_sf_angle_restrict_symm_err_e>
2500
2501 =item C<gsl_sf_angle_restrict_pos_err_e >
2502
2503 =item C<gsl_sf_atanint_e>
2504
2505 =item C<gsl_sf_atanint>
2506
2507 =item C<gsl_sf_zeta_int_e >
2508
2509 =item C<gsl_sf_zeta_int>
2510
2511 =item C<gsl_sf_zeta_e gsl_sf_zeta >
2512
2513 =item C<gsl_sf_zetam1_e>
2514
2515 =item C<gsl_sf_zetam1>
2516
2517 =item C<gsl_sf_zetam1_int_e >
2518
2519 =item C<gsl_sf_zetam1_int>
2520
2521 =item C<gsl_sf_hzeta_e>
2522
2523 =item C<gsl_sf_hzeta >
2524
2525 =item C<gsl_sf_eta_int_e>
2526
2527 =item C<gsl_sf_eta_int>
2528
2529 =item C<gsl_sf_eta_e>
2530
2531 =item C<gsl_sf_eta >
2532
2533 =back
2534
2535 This module also contains the following constants used as mode in various of those functions :
2536
2537 =over
2538
2539 =item * GSL_PREC_DOUBLE - Double-precision, a relative accuracy of approximately 2 * 10^-16.
2540
2541 =item * GSL_PREC_SINGLE - Single-precision, a relative accuracy of approximately 10^-7.
2542
2543 =item * GSL_PREC_APPROX - Approximate values, a relative accuracy of approximately 5 * 10^-4.
2544
2545 =back
2546
2547  You can import the functions that you want to use by giving a space separated
2548  list to Math::GSL::SF when you use the package.  You can also write
2549  use Math::GSL::SF qw/:all/
2550  to use all avaible functions of the module. Note that
2551  the tag names begin with a colon.  Other tags are also available, here is a
2552  complete list of all tags for this module :
2553
2554 =over
2555
2556 =item C<airy>
2557
2558 =item C<bessel>
2559
2560 =item C<clausen>
2561
2562 =item C<hydrogenic>
2563
2564 =item C<coulumb>
2565
2566 =item C<coupling>
2567
2568 =item C<dawson>
2569
2570 =item C<debye>
2571
2572 =item C<dilog>
2573
2574 =item C<factorial>
2575
2576 =item C<misc>
2577
2578 =item C<elliptic>
2579
2580 =item C<error>
2581
2582 =item C<hypergeometric>
2583
2584 =item C<laguerre>
2585
2586 =item C<legendre>
2587
2588 =item C<gamma>
2589
2590 =item C<transport>
2591
2592 =item C<trig>
2593
2594 =item C<zeta>
2595
2596 =item C<eta>
2597
2598 =item C<vars>
2599
2600 =back
2601
2602 For more informations on the functions, we refer you to the GSL offcial
2603 documentation: L<http://www.gnu.org/software/gsl/manual/html_node/>
2604
2605 Tip : search on google: site:http://www.gnu.org/software/gsl/manual/html_node/name_of_the_function_you_want
2606
2607 =head1 EXAMPLES
2608
2609 This example computes the dilogarithm of 1/10 :
2610
2611     use Math::GSL::SF qw/dilog/;
2612     my $x = gsl_sf_dilog(0.1);
2613     print "gsl_sf_dilog(0.1) = $x\n";
2614
2615 An example using Math::GSL::SF and gnuplot is in the B<examples/sf> folder of the source code.
2616
2617 =head1 AUTHORS
2618
2619 Jonathan Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>
2620
2621 =head1 COPYRIGHT AND LICENSE
2622
2623 Copyright (C) 2008 Jonathan Leto and Thierry Moisan
2624
2625 This program is free software; you can redistribute it and/or modify it
2626 under the same terms as Perl itself.
2627
2628 =cut
2629 %}