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pdl::gslsf::hyperg(3) [suse man page]

HYPERG(3)						User Contributed Perl Documentation						 HYPERG(3)

NAME

       PDL::GSLSF::HYPERG - 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_hyperg_0F1
	 Signature: (double x(); double [o]y(); double [o]e(); double c)

       /* Hypergeometric function related to Bessel functions 0F1[c,x] = Gamma[c]    x^(1/2(1-c)) I_{c-1}(2 Sqrt[x]) Gamma[c] (-x)^(1/2(1-c))
       J_{c-1}(2 Sqrt[-x])

       gsl_sf_hyperg_0F1 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_hyperg_1F1
	 Signature: (double x(); double [o]y(); double [o]e(); double a; double b)

       Confluent hypergeometric function  for integer parameters. 1F1[a,b,x] = M(a,b,x)

       gsl_sf_hyperg_1F1 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_hyperg_U
	 Signature: (double x(); double [o]y(); double [o]e(); double a; double b)

       Confluent hypergeometric function  for integer parameters. U(a,b,x)

       gsl_sf_hyperg_U 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_hyperg_2F1
	 Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Confluent hypergeometric function  for integer parameters. 2F1[a,b,c,x]

       gsl_sf_hyperg_2F1 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_hyperg_2F1_conj
	 Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x]

       gsl_sf_hyperg_2F1_conj 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_hyperg_2F1_renorm
	 Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Renormalized Gauss hypergeometric function 2F1[a,b,c,x] / Gamma[c]

       gsl_sf_hyperg_2F1_renorm 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_hyperg_2F1_conj_renorm
	 Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Renormalized Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x] / Gamma[c]

       gsl_sf_hyperg_2F1_conj_renorm 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_hyperg_2F0
	 Signature: (double x(); double [o]y(); double [o]e(); double a; double b)

       Mysterious hypergeometric function. The series representation is a divergent hypergeometric series. However, for x < 0 we have 2F0(a,b,x) =
       (-1/x)^a U(a,1+a-b,-1/x)

       gsl_sf_hyperg_2F0 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								 HYPERG(3)

Check Out this Related Man Page

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

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

   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 v5.14.2							    2012-05-30							       EXPINT(3pm)
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