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.\" ========================================================================
.\"
.IX Title "COULOMB 3pm"
.TH COULOMB 3pm "2023-06-17" "perl v5.36.0" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
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.SH "NAME"
PDL::GSLSF::COULOMB \- PDL interface to GSL Special Functions
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
This is an interface to the Special Function package present in the \s-1GNU\s0 Scientific Library.
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.SH "FUNCTIONS"
.IX Header "FUNCTIONS"
.SS "gsl_sf_hydrogenicR"
.IX Subsection "gsl_sf_hydrogenicR"
.Vb 1
\&  Signature: (double x(); double [o]y(); double [o]e(); int n; int l; double z)
.Ve
.PP
Normalized Hydrogenic bound states. Radial dipendence.
.PP
gsl_sf_hydrogenicR does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SS "gsl_sf_coulomb_wave_FGp_array"
.IX Subsection "gsl_sf_coulomb_wave_FGp_array"
.Vb 1
\&  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)
.Ve
.PP
.Vb 1
\& 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.
.Ve
.PP
gsl_sf_coulomb_wave_FGp_array does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SS "gsl_sf_coulomb_wave_sphF_array"
.IX Subsection "gsl_sf_coulomb_wave_sphF_array"
.Vb 1
\&  Signature: (double x(); double [o]fc(n); int [o]ovfw(); double [o]fe(n); double lam_min; int kmax=>n; double eta)
.Ve
.PP
.Vb 1
\& 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.
.Ve
.PP
gsl_sf_coulomb_wave_sphF_array does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SS "gsl_sf_coulomb_CL_e"
.IX Subsection "gsl_sf_coulomb_CL_e"
.Vb 1
\&  Signature: (double L(); double eta();  double [o]y(); double [o]e())
.Ve
.PP
Coulomb wave function normalization constant. [Abramowitz+Stegun 14.1.8, 14.1.9].
.PP
gsl_sf_coulomb_CL_e does not process bad values.
It will set the bad-value flag of all output ndarrays if the flag is set for any of the input ndarrays.
.SH "AUTHOR"
.IX Header "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
\&\s-1COPYING\s0 in the \s-1PDL\s0 distribution. If this file is separated from the
\&\s-1PDL\s0 distribution, the copyright notice should be included in the file.
.PP
The \s-1GSL SF\s0 modules were written by G. Jungman.