# RedHat 9 (Linux i386) - man page for pdl::gslsf::fermi_dirac (redhat section 3)

```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