NAME

       PDL::GSLSF::COULOMB - 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_hydrogenicR
         Signature: (double x(); double [o]y(); double [o]e(); int n; int l; double z)

       Normalized Hydrogenic bound states. Radial dipendence.

       gsl_sf_hydrogenicR 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_coulomb_wave_FGp_array
         Signature: (double x(); double [o]fc(n); double [o]fcp(n); double [o]gc(n); double [o]gcp(n); int [o]ovfw(); double [o]fe(n); double [o]ge(n); double lam_min; int kmax=>n; double eta)

        Coulomb wave functions F_{lam_F}(eta,x), G_{lam_G}(eta,x) and their derivatives; lam_G := lam_F - k_lam_G. if ovfw is signaled then F_L(eta,x)  =  fc[k_L] * exp(fe) and similar.

       gsl_sf_coulomb_wave_FGp_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_coulomb_wave_sphF_array
         Signature: (double x(); double [o]fc(n); int [o]ovfw(); double [o]fe(n); double lam_min; int kmax=>n; double eta)

        Coulomb wave function divided by the argument, F(xi, eta)/xi. This is the function which reduces to spherical Bessel functions in the limit eta->0.

       gsl_sf_coulomb_wave_sphF_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_coulomb_CL_e
         Signature: (double L(); double eta();  double [o]y(); double [o]e())

       Coulomb wave function normalization constant. [Abramowitz+Stegun 14.1.8, 14.1.9].

       gsl_sf_coulomb_CL_e 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.