1BESSEL(3)             User Contributed Perl Documentation            BESSEL(3)
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NAME

6       PDL::GSLSF::BESSEL - PDL interface to GSL Special Functions
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DESCRIPTION

9       This is an interface to the Special Function package present in the GNU
10       Scientific Library.
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SYNOPSIS

Functions

FUNCTIONS

15       gsl_sf_bessel_Jn
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17         Signature: (double x(); double [o]y(); double [o]e(); int n)
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19       Regular Bessel Function J_n(x).
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21       gsl_sf_bessel_J_array
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23         Signature: (double x(); double [o]y(num); int s; int n=>num)
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25       Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x).
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27       gsl_sf_bessel_Yn
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29         Signature: (double x(); double [o]y(); double [o]e(); int n)
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31       IrRegular Bessel Function Y_n(x).
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33       gsl_sf_bessel_Y_array
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35         Signature: (double x(); double [o]y(num); int s; int n=>num)
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37       Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n-1}(x).
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39       gsl_sf_bessel_In
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41         Signature: (double x(); double [o]y(); double [o]e(); int n)
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43       Regular Modified Bessel Function I_n(x).
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45       gsl_sf_bessel_I_array
46
47         Signature: (double x(); double [o]y(num); int s; int n=>num)
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49       Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n-1}(x).
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51       gsl_sf_bessel_In_scaled
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53         Signature: (double x(); double [o]y(); double [o]e(); int n)
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55       Scaled Regular Modified Bessel Function exp(-⎪x⎪) I_n(x).
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57       gsl_sf_bessel_I_scaled_array
58
59         Signature: (double x(); double [o]y(num); int s; int n=>num)
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61       Array of Scaled Regular Modified Bessel Functions exp(-⎪x⎪) I_{s}(x) to
62       exp(-⎪x⎪) I_{s+n-1}(x).
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64       gsl_sf_bessel_Kn
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66         Signature: (double x(); double [o]y(); double [o]e(); int n)
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68       IrRegular Modified Bessel Function K_n(x).
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70       gsl_sf_bessel_K_array
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72         Signature: (double x(); double [o]y(num); int s; int n=>num)
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74       Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n-1}(x).
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76       gsl_sf_bessel_Kn_scaled
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78         Signature: (double x(); double [o]y(); double [o]e(); int n)
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80       Scaled IrRegular Modified Bessel Function exp(-⎪x⎪) K_n(x).
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82       gsl_sf_bessel_K_scaled_array
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84         Signature: (double x(); double [o]y(num); int s; int n=>num)
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86       Array of Scaled IrRegular Modified Bessel Functions exp(-⎪x⎪) K_{s}(x)
87       to exp(-⎪x⎪) K_{s+n-1}(x).
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89       gsl_sf_bessel_jl
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91         Signature: (double x(); double [o]y(); double [o]e(); int n)
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93       Regular Sphericl Bessel Function J_n(x).
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95       gsl_sf_bessel_j_array
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97         Signature: (double x(); double [o]y(num); int n=>num)
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99       Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n-1}(x).
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101       gsl_sf_bessel_yl
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103         Signature: (double x(); double [o]y(); double [o]e(); int n)
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105       IrRegular Spherical Bessel Function y_n(x).
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107       gsl_sf_bessel_y_array
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109         Signature: (double x(); double [o]y(num); int n=>num)
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111       Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n-1}(x).
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113       gsl_sf_bessel_il_scaled
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115         Signature: (double x(); double [o]y(); double [o]e(); int n)
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117       Scaled Regular Modified Spherical Bessel Function exp(-⎪x⎪) i_n(x).
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119       gsl_sf_bessel_i_scaled_array
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121         Signature: (double x(); double [o]y(num); int n=>num)
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123       Array of Scaled Regular Modified Spherical Bessel Functions exp(-⎪x⎪)
124       i_{0}(x) to exp(-⎪x⎪) i_{n-1}(x).
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126       gsl_sf_bessel_kl_scaled
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128         Signature: (double x(); double [o]y(); double [o]e(); int n)
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130       Scaled IrRegular Modified Spherical Bessel Function exp(-⎪x⎪) k_n(x).
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132       gsl_sf_bessel_k_scaled_array
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134         Signature: (double x(); double [o]y(num); int n=>num)
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136       Array of Scaled IrRegular Modified Spherical Bessel Functions exp(-⎪x⎪)
137       k_{s}(x) to exp(-⎪x⎪) k_{s+n-1}(x).
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139       gsl_sf_bessel_Jnu
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141         Signature: (double x(); double [o]y(); double [o]e(); double n)
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143       Regular Cylindrical Bessel Function J_nu(x).
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145       gsl_sf_bessel_Ynu
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147         Signature: (double x(); double [o]y(); double [o]e(); double n)
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149       IrRegular Cylindrical Bessel Function J_nu(x).
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151       gsl_sf_bessel_Inu_scaled
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153         Signature: (double x(); double [o]y(); double [o]e(); double n)
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155       Scaled Modified Cylindrical Bessel Function exp(-⎪x⎪) I_nu(x).
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157       gsl_sf_bessel_Inu
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159         Signature: (double x(); double [o]y(); double [o]e(); double n)
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161       Modified Cylindrical Bessel Function I_nu(x).
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163       gsl_sf_bessel_Knu_scaled
164
165         Signature: (double x(); double [o]y(); double [o]e(); double n)
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167       Scaled Modified Cylindrical Bessel Function exp(-⎪x⎪) K_nu(x).
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169       gsl_sf_bessel_Knu
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171         Signature: (double x(); double [o]y(); double [o]e(); double n)
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173       Modified Cylindrical Bessel Function K_nu(x).
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175       gsl_sf_bessel_lnKnu
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177         Signature: (double x(); double [o]y(); double [o]e(); double n)
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179       Logarithm of Modified Cylindrical Bessel Function K_nu(x).
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AUTHOR

182       This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.tri‐
183       este.it> All rights reserved. There is no warranty. You are allowed to
184       redistribute this software / documentation under certain conditions.
185       For details, see the file COPYING in the PDL distribution. If this file
186       is separated from the PDL distribution, the copyright notice should be
187       included in the file.
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189       The GSL SF modules were written by G. Jungman.
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193perl v5.8.8                       2006-12-02                         BESSEL(3)