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PDL::GSLSF::PSI - PDL interface to GSL Special Functions

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.

perl v5.34.0                                       2022-02-08                                           PSI(3pm)

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))

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 ndarrays if the
       flag is set for any of the input ndarrays.

   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 ndarrays if
       the flag is set for any of the input ndarrays.

   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 ndarrays if the
       flag is set for any of the input ndarrays.

Name

       PDL::GSLSF::PSI - PDL interface to GSL Special Functions

See Also