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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FUNCTIONS

13   gsl_sf_zeta
14         Signature: (double x(); double [o]y(); double [o]e())
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16       Riemann Zeta Function zeta(x) = Sum[ k^(-s), {k,1,Infinity} ], s != 1.0
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18       gsl_sf_zeta does not process bad values.  It will set the bad-value
19       flag of all output ndarrays if the flag is set for any of the input
20       ndarrays.
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22   gsl_sf_hzeta
23         Signature: (double s(); double [o]y(); double [o]e(); double q)
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25       Hurwicz Zeta Function zeta(s,q) = Sum[ (k+q)^(-s), {k,0,Infinity} ]
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27       gsl_sf_hzeta does not process bad values.  It will set the bad-value
28       flag of all output ndarrays if the flag is set for any of the input
29       ndarrays.
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31   gsl_sf_eta
32         Signature: (double x(); double [o]y(); double [o]e())
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34       Eta Function eta(s) = (1-2^(1-s)) zeta(s)
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36       gsl_sf_eta does not process bad values.  It will set the bad-value flag
37       of all output ndarrays if the flag is set for any of the input
38       ndarrays.
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AUTHOR

41       This file copyright (C) 1999 Christian Pellegrin
42       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
43       You are allowed to redistribute this software / documentation under
44       certain conditions. For details, see the file COPYING in the PDL
45       distribution. If this file is separated from the PDL distribution, the
46       copyright notice should be included in the file.
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48       The GSL SF modules were written by G. Jungman.
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52perl v5.36.0                      2023-01-20                           ZETA(3)