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

6       PDL::GSLSF::HYPERG - 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

FUNCTIONS

15   gsl_sf_hyperg_0F1
16         Signature: (double x(); double [o]y(); double [o]e(); double c)
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18       /* Hypergeometric function related to Bessel functions 0F1[c,x] =
19       Gamma[c]    x^(1/2(1-c)) I_{c-1}(2 Sqrt[x]) Gamma[c] (-x)^(1/2(1-c))
20       J_{c-1}(2 Sqrt[-x])
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22       gsl_sf_hyperg_0F1 does not process bad values.  It will set the bad-
23       value flag of all output piddles if the flag is set for any of the
24       input piddles.
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26   gsl_sf_hyperg_1F1
27         Signature: (double x(); double [o]y(); double [o]e(); double a; double b)
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29       Confluent hypergeometric function  for integer parameters. 1F1[a,b,x] =
30       M(a,b,x)
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32       gsl_sf_hyperg_1F1 does not process bad values.  It will set the bad-
33       value flag of all output piddles if the flag is set for any of the
34       input piddles.
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36   gsl_sf_hyperg_U
37         Signature: (double x(); double [o]y(); double [o]e(); double a; double b)
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39       Confluent hypergeometric function  for integer parameters. U(a,b,x)
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41       gsl_sf_hyperg_U does not process bad values.  It will set the bad-value
42       flag of all output piddles if the flag is set for any of the input
43       piddles.
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45   gsl_sf_hyperg_2F1
46         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
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48       Confluent hypergeometric function  for integer parameters. 2F1[a,b,c,x]
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50       gsl_sf_hyperg_2F1 does not process bad values.  It will set the bad-
51       value flag of all output piddles if the flag is set for any of the
52       input piddles.
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54   gsl_sf_hyperg_2F1_conj
55         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
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57       Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x]
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59       gsl_sf_hyperg_2F1_conj does not process bad values.  It will set the
60       bad-value flag of all output piddles if the flag is set for any of the
61       input piddles.
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63   gsl_sf_hyperg_2F1_renorm
64         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
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66       Renormalized Gauss hypergeometric function 2F1[a,b,c,x] / Gamma[c]
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68       gsl_sf_hyperg_2F1_renorm does not process bad values.  It will set the
69       bad-value flag of all output piddles if the flag is set for any of the
70       input piddles.
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72   gsl_sf_hyperg_2F1_conj_renorm
73         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)
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75       Renormalized Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c,
76       x] / Gamma[c]
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78       gsl_sf_hyperg_2F1_conj_renorm does not process bad values.  It will set
79       the bad-value flag of all output piddles if the flag is set for any of
80       the input piddles.
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82   gsl_sf_hyperg_2F0
83         Signature: (double x(); double [o]y(); double [o]e(); double a; double b)
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85       Mysterious hypergeometric function. The series representation is a
86       divergent hypergeometric series. However, for x < 0 we have 2F0(a,b,x)
87       = (-1/x)^a U(a,1+a-b,-1/x)
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89       gsl_sf_hyperg_2F0 does not process bad values.  It will set the bad-
90       value flag of all output piddles if the flag is set for any of the
91       input piddles.
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AUTHOR

94       This file copyright (C) 1999 Christian Pellegrin
95       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
96       You are allowed to redistribute this software / documentation under
97       certain conditions. For details, see the file COPYING in the PDL
98       distribution. If this file is separated from the PDL distribution, the
99       copyright notice should be included in the file.
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101       The GSL SF modules were written by G. Jungman.
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105perl v5.12.3                      2011-03-31                         HYPERG(3)