noble (3) PDL::GSLSF::FERMI_DIRAC.3pm.gz

NAME

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

DESCRIPTION

       This is an interface to the Special Function package present in the GNU Scientific Library.  Please note
       that:

       Complete Fermi-Dirac Integrals:

        F_j(x)   := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,0,Infinity}]

       Incomplete Fermi-Dirac Integrals:

        F_j(x,b) := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,b,Infinity}]

FUNCTIONS

   gsl_sf_fermi_dirac_int
         Signature: (double x(); double [o]y(); double [o]e(); int j)

       Complete integral F_j(x) for integer j

       gsl_sf_fermi_dirac_int 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_fermi_dirac_mhalf
         Signature: (double x(); double [o]y(); double [o]e())

       Complete integral F_{-1/2}(x)

       gsl_sf_fermi_dirac_mhalf 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_fermi_dirac_half
         Signature: (double x(); double [o]y(); double [o]e())

       Complete integral F_{1/2}(x)

       gsl_sf_fermi_dirac_half 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_fermi_dirac_3half
         Signature: (double x(); double [o]y(); double [o]e())

       Complete integral F_{3/2}(x)

       gsl_sf_fermi_dirac_3half 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_fermi_dirac_inc_0
         Signature: (double x(); double [o]y(); double [o]e(); double b)

       Incomplete integral F_0(x,b) = ln(1 + e^(b-x)) - (b-x)

       gsl_sf_fermi_dirac_inc_0 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.

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.