NAME¶
PDL::GSLSF::PSI - PDL interface to GSL Special Functions
DESCRIPTION¶
This is an interface to the Special Function package present in the GNU
Scientific Library.
Poly-Gamma Functions
psi(m,x) := (d/dx)^m psi(0,x) = (d/dx)^{m+1} log(gamma(x))
SYNOPSIS¶
FUNCTIONS¶
gsl_sf_psi¶
Signature: (double x(); double [o]y(); double [o]e())
Di-Gamma Function psi(x).
gsl_sf_psi does not process bad values. It will set the bad-value flag of all
output piddles if the flag is set for any of the input piddles.
gsl_sf_psi_1piy¶
Signature: (double x(); double [o]y(); double [o]e())
Di-Gamma Function Re[psi(1 + I y)]
gsl_sf_psi_1piy does not process bad values. It will set the bad-value flag of
all output piddles if the flag is set for any of the input piddles.
gsl_sf_psi_n¶
Signature: (double x(); double [o]y(); double [o]e(); int n)
Poly-Gamma Function psi^(n)(x)
gsl_sf_psi_n does not process bad values. It will set the bad-value flag of all
output piddles if the flag is set for any of the input piddles.
AUTHOR¶
This file copyright (C) 1999 Christian Pellegrin
<chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
You are allowed to redistribute this software / documentation under certain
conditions. For details, see the file COPYING in the PDL distribution. If this
file is separated from the PDL distribution, the copyright notice should be
included in the file.
The GSL SF modules were written by G. Jungman.