pdl::gslsf::fermi_dirac(3) [suse 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_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 v5.12.1							    2010-07-05							    FERMI_DIRAC(3)

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_E1 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_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_E2 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_expint_Ei
	 Signature: (double x(); double [o]y(); double [o]e())

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

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

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

       gsl_sf_Shi 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_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_Chi 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_expint_3
	 Signature: (double x(); double [o]y(); double [o]e())

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

       gsl_sf_expint_3 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_Si
	 Signature: (double x(); double [o]y(); double [o]e())

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

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

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

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

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

       gsl_sf_atanint 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 v5.12.1							    2010-07-05								 EXPINT(3)