1FERMI_DIRAC(3)        User Contributed Perl Documentation       FERMI_DIRAC(3)
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NAME

6       PDL::GSLSF::FERMI_DIRAC - 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.  Please note that:
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12       Complete Fermi-Dirac Integrals:
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14        F_j(x)   := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,0,Infinity}]
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16       Incomplete Fermi-Dirac Integrals:
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18        F_j(x,b) := 1/Gamma[j+1] Integral[ t^j /(Exp[t-x] + 1), {t,b,Infinity}]
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SYNOPSIS

Functions

FUNCTIONS

23       gsl_sf_fermi_dirac_int
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25         Signature: (double x(); double [o]y(); double [o]e(); int j)
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27       Complete integral F_j(x) for integer j
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29       gsl_sf_fermi_dirac_mhalf
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31         Signature: (double x(); double [o]y(); double [o]e())
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33       Complete integral F_{-1/2}(x)
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35       gsl_sf_fermi_dirac_half
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37         Signature: (double x(); double [o]y(); double [o]e())
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39       Complete integral F_{1/2}(x)
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41       gsl_sf_fermi_dirac_3half
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43         Signature: (double x(); double [o]y(); double [o]e())
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45       Complete integral F_{3/2}(x)
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47       gsl_sf_fermi_dirac_inc_0
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49         Signature: (double x(); double [o]y(); double [o]e(); double b)
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51       Incomplete integral F_0(x,b) = ln(1 + e^(b-x)) - (b-x)
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AUTHOR

54       This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.tri‐
55       este.it> All rights reserved. There is no warranty. You are allowed to
56       redistribute this software / documentation under certain conditions.
57       For details, see the file COPYING in the PDL distribution. If this file
58       is separated from the PDL distribution, the copyright notice should be
59       included in the file.
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61       The GSL SF modules were written by G. Jungman.
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65perl v5.8.8                       2006-12-02                    FERMI_DIRAC(3)