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

6       PDL::GSLSF::PSI - 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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12       Poly-Gamma Functions
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14       psi(m,x) := (d/dx)^m psi(0,x) = (d/dx)^{m+1} log(gamma(x))
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SYNOPSIS

FUNCTIONS

18   gsl_sf_psi
19         Signature: (double x(); double [o]y(); double [o]e())
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21       Di-Gamma Function psi(x).
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23       gsl_sf_psi does not process bad values.  It will set the bad-value flag
24       of all output ndarrays if the flag is set for any of the input
25       ndarrays.
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27   gsl_sf_psi_1piy
28         Signature: (double x(); double [o]y(); double [o]e())
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30       Di-Gamma Function Re[psi(1 + I y)]
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32       gsl_sf_psi_1piy does not process bad values.  It will set the bad-value
33       flag of all output ndarrays if the flag is set for any of the input
34       ndarrays.
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36   gsl_sf_psi_n
37         Signature: (double x(); double [o]y(); double [o]e(); int n)
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39       Poly-Gamma Function psi^(n)(x)
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41       gsl_sf_psi_n does not process bad values.  It will set the bad-value
42       flag of all output ndarrays if the flag is set for any of the input
43       ndarrays.
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AUTHOR

46       This file copyright (C) 1999 Christian Pellegrin
47       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
48       You are allowed to redistribute this software / documentation under
49       certain conditions. For details, see the file COPYING in the PDL
50       distribution. If this file is separated from the PDL distribution, the
51       copyright notice should be included in the file.
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53       The GSL SF modules were written by G. Jungman.
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57perl v5.34.0                      2021-08-16                            PSI(3)