NAME

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

DESCRIPTION

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

SYNOPSIS

FUNCTIONS

   gsl_sf_bessel_Jn
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       Regular Bessel Function J_n(x).

       gsl_sf_bessel_Jn does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_J_array
         Signature: (double x(); double [o]y(num); int s; int n=>num)

       Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x).

       gsl_sf_bessel_J_array does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Yn
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       IrRegular Bessel Function Y_n(x).

       gsl_sf_bessel_Yn does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Y_array
         Signature: (double x(); double [o]y(num); int s; int n=>num)

       Array of Regular Bessel Functions Y_{s}(x) to Y_{s+n-1}(x).

       gsl_sf_bessel_Y_array does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_In
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       Regular Modified Bessel Function I_n(x).

       gsl_sf_bessel_In does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_I_array
         Signature: (double x(); double [o]y(num); int s; int n=>num)

       Array of Regular Modified Bessel Functions I_{s}(x) to I_{s+n-1}(x).

       gsl_sf_bessel_I_array does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_In_scaled
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       Scaled Regular Modified Bessel Function exp(-|x|) I_n(x).

       gsl_sf_bessel_In_scaled does not process bad values.  It will set the bad-value flag of
       all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_I_scaled_array
         Signature: (double x(); double [o]y(num); int s; int n=>num)

       Array of Scaled Regular Modified Bessel Functions exp(-|x|) I_{s}(x) to exp(-|x|)
       I_{s+n-1}(x).

       gsl_sf_bessel_I_scaled_array does not process bad values.  It will set the bad-value flag
       of all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Kn
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       IrRegular Modified Bessel Function K_n(x).

       gsl_sf_bessel_Kn does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_K_array
         Signature: (double x(); double [o]y(num); int s; int n=>num)

       Array of IrRegular Modified Bessel Functions K_{s}(x) to K_{s+n-1}(x).

       gsl_sf_bessel_K_array does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Kn_scaled
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       Scaled IrRegular Modified Bessel Function exp(-|x|) K_n(x).

       gsl_sf_bessel_Kn_scaled does not process bad values.  It will set the bad-value flag of
       all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_K_scaled_array
         Signature: (double x(); double [o]y(num); int s; int n=>num)

       Array of Scaled IrRegular Modified Bessel Functions exp(-|x|) K_{s}(x) to exp(-|x|)
       K_{s+n-1}(x).

       gsl_sf_bessel_K_scaled_array does not process bad values.  It will set the bad-value flag
       of all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_jl
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       Regular Sphericl Bessel Function J_n(x).

       gsl_sf_bessel_jl does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_j_array
         Signature: (double x(); double [o]y(num); int n=>num)

       Array of Spherical Regular Bessel Functions J_{0}(x) to J_{n-1}(x).

       gsl_sf_bessel_j_array does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_yl
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       IrRegular Spherical Bessel Function y_n(x).

       gsl_sf_bessel_yl does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_y_array
         Signature: (double x(); double [o]y(num); int n=>num)

       Array of Regular Spherical Bessel Functions y_{0}(x) to y_{n-1}(x).

       gsl_sf_bessel_y_array does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_il_scaled
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       Scaled Regular Modified Spherical Bessel Function exp(-|x|) i_n(x).

       gsl_sf_bessel_il_scaled does not process bad values.  It will set the bad-value flag of
       all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_i_scaled_array
         Signature: (double x(); double [o]y(num); int n=>num)

       Array of Scaled Regular Modified Spherical Bessel Functions exp(-|x|) i_{0}(x) to
       exp(-|x|) i_{n-1}(x).

       gsl_sf_bessel_i_scaled_array does not process bad values.  It will set the bad-value flag
       of all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_kl_scaled
         Signature: (double x(); double [o]y(); double [o]e(); int n)

       Scaled IrRegular Modified Spherical Bessel Function exp(-|x|) k_n(x).

       gsl_sf_bessel_kl_scaled does not process bad values.  It will set the bad-value flag of
       all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_k_scaled_array
         Signature: (double x(); double [o]y(num); int n=>num)

       Array of Scaled IrRegular Modified Spherical Bessel Functions exp(-|x|) k_{s}(x) to
       exp(-|x|) k_{s+n-1}(x).

       gsl_sf_bessel_k_scaled_array does not process bad values.  It will set the bad-value flag
       of all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Jnu
         Signature: (double x(); double [o]y(); double [o]e(); double n)

       Regular Cylindrical Bessel Function J_nu(x).

       gsl_sf_bessel_Jnu does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Ynu
         Signature: (double x(); double [o]y(); double [o]e(); double n)

       IrRegular Cylindrical Bessel Function J_nu(x).

       gsl_sf_bessel_Ynu does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Inu_scaled
         Signature: (double x(); double [o]y(); double [o]e(); double n)

       Scaled Modified Cylindrical Bessel Function exp(-|x|) I_nu(x).

       gsl_sf_bessel_Inu_scaled does not process bad values.  It will set the bad-value flag of
       all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Inu
         Signature: (double x(); double [o]y(); double [o]e(); double n)

       Modified Cylindrical Bessel Function I_nu(x).

       gsl_sf_bessel_Inu does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Knu_scaled
         Signature: (double x(); double [o]y(); double [o]e(); double n)

       Scaled Modified Cylindrical Bessel Function exp(-|x|) K_nu(x).

       gsl_sf_bessel_Knu_scaled does not process bad values.  It will set the bad-value flag of
       all output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_Knu
         Signature: (double x(); double [o]y(); double [o]e(); double n)

       Modified Cylindrical Bessel Function K_nu(x).

       gsl_sf_bessel_Knu does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

   gsl_sf_bessel_lnKnu
         Signature: (double x(); double [o]y(); double [o]e(); double n)

       Logarithm of Modified Cylindrical Bessel Function K_nu(x).

       gsl_sf_bessel_lnKnu does not process bad values.  It will set the bad-value flag of all
       output piddles if the flag is set for any of the input piddles.

AUTHOR

       This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> All rights
       reserved. There is no warranty. You are allowed to redistribute this software /
       documentation under certain conditions. For details, see the file COPYING in the PDL
       distribution. If this file is separated from the PDL distribution, the copyright notice
       should be included in the file.

       The GSL SF modules were written by G. Jungman.