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

6       PDL::GSLSF::ZETA - 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

14   gsl_sf_zeta
15         Signature: (double x(); double [o]y(); double [o]e())
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17       Riemann Zeta Function zeta(x) = Sum[ k^(-s), {k,1,Infinity} ], s != 1.0
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19       gsl_sf_zeta does not process bad values.  It will set the bad-value
20       flag of all output ndarrays if the flag is set for any of the input
21       ndarrays.
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23   gsl_sf_hzeta
24         Signature: (double s(); double [o]y(); double [o]e(); double q)
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26       Hurwicz Zeta Function zeta(s,q) = Sum[ (k+q)^(-s), {k,0,Infinity} ]
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28       gsl_sf_hzeta does not process bad values.  It will set the bad-value
29       flag of all output ndarrays if the flag is set for any of the input
30       ndarrays.
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32   gsl_sf_eta
33         Signature: (double x(); double [o]y(); double [o]e())
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35       Eta Function eta(s) = (1-2^(1-s)) zeta(s)
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37       gsl_sf_eta does not process bad values.  It will set the bad-value flag
38       of all output ndarrays if the flag is set for any of the input
39       ndarrays.
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AUTHOR

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