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

6       PDL::GSLSF::COULOMB - 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

14   gsl_sf_hydrogenicR
15         Signature: (double x(); double [o]y(); double [o]e(); int n; int l; double z)
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17       Normalized Hydrogenic bound states. Radial dipendence.
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19       gsl_sf_hydrogenicR does not process bad values.  It will set the bad-
20       value flag of all output piddles if the flag is set for any of the
21       input piddles.
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23   gsl_sf_coulomb_wave_FGp_array
24         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)
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26        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.
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28       gsl_sf_coulomb_wave_FGp_array does not process bad values.  It will set
29       the bad-value flag of all output piddles if the flag is set for any of
30       the input piddles.
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32   gsl_sf_coulomb_wave_sphF_array
33         Signature: (double x(); double [o]fc(n); int [o]ovfw(); double [o]fe(n); double lam_min; int kmax=>n; double eta)
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35        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.
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37       gsl_sf_coulomb_wave_sphF_array does not process bad values.  It will
38       set the bad-value flag of all output piddles if the flag is set for any
39       of the input piddles.
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41   gsl_sf_coulomb_CL_e
42         Signature: (double L(); double eta();  double [o]y(); double [o]e())
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44       Coulomb wave function normalization constant. [Abramowitz+Stegun
45       14.1.8, 14.1.9].
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47       gsl_sf_coulomb_CL_e does not process bad values.  It will set the bad-
48       value flag of all output piddles if the flag is set for any of the
49       input piddles.
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AUTHOR

52       This file copyright (C) 1999 Christian Pellegrin
53       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
54       You are allowed to redistribute this software / documentation under
55       certain conditions. For details, see the file COPYING in the PDL
56       distribution. If this file is separated from the PDL distribution, the
57       copyright notice should be included in the file.
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59       The GSL SF modules were written by G. Jungman.
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63perl v5.32.0                      2020-09-17                        COULOMB(3)
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