1PSI(3) User Contributed Perl Documentation PSI(3)
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6 PDL::GSLSF::PSI - PDL interface to GSL Special Functions
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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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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
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42 ndarrays.
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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 v5.36.0 2022-07-22 PSI(3)