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
24         Signature: (double x(); double [o]y(); double [o]e(); int j)
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26       Complete integral F_j(x) for integer j
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28       gsl_sf_fermi_dirac_int does not process bad values.  It will set the
29       bad-value flag of all output piddles if the flag is set for any of the
30       input piddles.
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32   gsl_sf_fermi_dirac_mhalf
33         Signature: (double x(); double [o]y(); double [o]e())
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35       Complete integral F_{-1/2}(x)
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37       gsl_sf_fermi_dirac_mhalf does not process bad values.  It will set the
38       bad-value flag of all output piddles if the flag is set for any of the
39       input piddles.
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41   gsl_sf_fermi_dirac_half
42         Signature: (double x(); double [o]y(); double [o]e())
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44       Complete integral F_{1/2}(x)
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46       gsl_sf_fermi_dirac_half does not process bad values.  It will set the
47       bad-value flag of all output piddles if the flag is set for any of the
48       input piddles.
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50   gsl_sf_fermi_dirac_3half
51         Signature: (double x(); double [o]y(); double [o]e())
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53       Complete integral F_{3/2}(x)
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55       gsl_sf_fermi_dirac_3half does not process bad values.  It will set the
56       bad-value flag of all output piddles if the flag is set for any of the
57       input piddles.
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59   gsl_sf_fermi_dirac_inc_0
60         Signature: (double x(); double [o]y(); double [o]e(); double b)
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62       Incomplete integral F_0(x,b) = ln(1 + e^(b-x)) - (b-x)
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64       gsl_sf_fermi_dirac_inc_0 does not process bad values.  It will set the
65       bad-value flag of all output piddles if the flag is set for any of the
66       input piddles.
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AUTHOR

69       This file copyright (C) 1999 Christian Pellegrin
70       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
71       You are allowed to redistribute this software / documentation under
72       certain conditions. For details, see the file COPYING in the PDL
73       distribution. If this file is separated from the PDL distribution, the
74       copyright notice should be included in the file.
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76       The GSL SF modules were written by G. Jungman.
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80perl v5.12.3                      2011-03-31                    FERMI_DIRAC(3)