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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FUNCTIONS

17   gsl_sf_psi
18         Signature: (double x(); double [o]y(); double [o]e())
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20       Di-Gamma Function psi(x).
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22       gsl_sf_psi does not process bad values.  It will set the bad-value flag
23       of all output ndarrays if the flag is set for any of the input
24       ndarrays.
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26   gsl_sf_psi_1piy
27         Signature: (double x(); double [o]y(); double [o]e())
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29       Di-Gamma Function Re[psi(1 + I y)]
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31       gsl_sf_psi_1piy does not process bad values.  It will set the bad-value
32       flag of all output ndarrays if the flag is set for any of the input
33       ndarrays.
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35   gsl_sf_psi_n
36         Signature: (double x(); double [o]y(); double [o]e(); int n)
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38       Poly-Gamma Function psi^(n)(x)
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40       gsl_sf_psi_n does not process bad values.  It will set the bad-value
41       flag of all output ndarrays if the flag is set for any of the input
42       ndarrays.
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AUTHOR

45       This file copyright (C) 1999 Christian Pellegrin
46       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
47       You are allowed to redistribute this software / documentation under
48       certain conditions. For details, see the file COPYING in the PDL
49       distribution. If this file is separated from the PDL distribution, the
50       copyright notice should be included in the file.
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52       The GSL SF modules were written by G. Jungman.
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56perl v5.38.0                      2023-07-21                            PSI(3)