HYPERG(3) User Contributed Perl Documentation HYPERG(3)NAMEPDL::GSLSF::HYPERG - PDL interface to GSL Special Functions
DESCRIPTION
This is an interface to the Special Function package present in the GNU
Scientific Library.
SYNOPSISFUNCTIONS
gsl_sf_hyperg_0F1
Signature: (double x(); double [o]y(); double [o]e(); double c)
/* Hypergeometric function related to Bessel functions 0F1[c,x] =
Gamma[c] x^(1/2(1-c)) I_{c-1}(2 Sqrt[x]) Gamma[c] (-x)^(1/2(1-c))
J_{c-1}(2 Sqrt[-x])
gsl_sf_hyperg_0F1 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_hyperg_1F1
Signature: (double x(); double [o]y(); double [o]e(); double a; double b)
Confluent hypergeometric function for integer parameters. 1F1[a,b,x] =
M(a,b,x)
gsl_sf_hyperg_1F1 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_hyperg_U
Signature: (double x(); double [o]y(); double [o]e(); double a; double b)
Confluent hypergeometric function for integer parameters. U(a,b,x)
gsl_sf_hyperg_U 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_hyperg_2F1
Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
Confluent hypergeometric function for integer parameters. 2F1[a,b,c,x]
gsl_sf_hyperg_2F1 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_hyperg_2F1_conj
Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x]
gsl_sf_hyperg_2F1_conj 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_hyperg_2F1_renorm
Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
Renormalized Gauss hypergeometric function 2F1[a,b,c,x] / Gamma[c]
gsl_sf_hyperg_2F1_renorm 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_hyperg_2F1_conj_renorm
Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
Renormalized Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c,
x] / Gamma[c]
gsl_sf_hyperg_2F1_conj_renorm 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_hyperg_2F0
Signature: (double x(); double [o]y(); double [o]e(); double a; double b)
Mysterious hypergeometric function. The series representation is a
divergent hypergeometric series. However, for x < 0 we have 2F0(a,b,x)
= (-1/x)^a U(a,1+a-b,-1/x)
gsl_sf_hyperg_2F0 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.
perl v5.18.1 2014-01-17 HYPERG(3)
