## Linux and UNIX Man Pages

Test Your Knowledge in Computers #730
Difficulty: Medium
The first version BASIC language was released on 1 May 1964.
True or False?

# pdl::gslsf::fermi_dirac(3) [redhat man page]

```FERMI_DIRAC(3)						User Contributed Perl Documentation					    FERMI_DIRAC(3)

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}]

SYNOPSIS
Functions
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_mhalf

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

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

gsl_sf_fermi_dirac_half

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

Complete integral F_{1/2}(x)

gsl_sf_fermi_dirac_3half

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

Complete integral F_{3/2}(x)

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)

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 v5.8.0							    2003-01-29							    FERMI_DIRAC(3)```

## Check Out this Related Man Page

```EXPINT(3)						User Contributed Perl Documentation						 EXPINT(3)

NAME
PDL::GSLSF::EXPINT - PDL interface to GSL Special Functions

DESCRIPTION
This is an interface to the Special Function package present in the GNU Scientific Library.

SYNOPSIS
Functions
FUNCTIONS
gsl_sf_expint_E1

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

E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ]

gsl_sf_expint_E2

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

E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infity}] ]

gsl_sf_expint_Ei

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

Ei(x) := PV Integrate[ Exp[-t]/t, {t,-x,Infinity}]

gsl_sf_Shi

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

Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}]

gsl_sf_Chi

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

Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ]

gsl_sf_expint_3

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

Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}]

gsl_sf_Si

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

Si(x) := Integrate[ Sin[t]/t, {t,0,x}]

gsl_sf_Ci

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

Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}]

gsl_sf_atanint

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

AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}]

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 v5.8.0							    2003-01-29								 EXPINT(3)```

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