FERMI_DIRAC(3) User Contributed Perl Documentation FERMI_DIRAC(3)NAMEPDL::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}]
SYNOPSISFUNCTIONS
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 piddles if the flag is set for any of the
input piddles.
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 piddles if the flag is set for any of the
input piddles.
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 piddles if the flag is set for any of the
input piddles.
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 piddles if the flag is set for any of the
input piddles.
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 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.
perl v5.18.1 2014-01-17 FERMI_DIRAC(3)
