pdl::gslsf::coulomb(3pm) [debian man page]

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

NAME

       PDL::GSLSF::COULOMB - 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_hydrogenicR
	 Signature: (double x(); double [o]y(); double [o]e(); int n; int l; double z)

       Normalized Hydrogenic bound states. Radial dipendence.

       gsl_sf_hydrogenicR 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_coulomb_wave_FGp_array
	 Signature: (double x(); double [o]fc(n); double [o]fcp(n); double [o]gc(n); double [o]gcp(n); int [o]ovfw(); double [o]fe(n); double [o]ge(n); double lam_min; int kmax=>n; double eta)

	Coulomb wave functions F_{lam_F}(eta,x), G_{lam_G}(eta,x) and their derivatives; lam_G := lam_F - k_lam_G. if ovfw is signaled then F_L(eta,x)	=  fc[k_L] * exp(fe) and similar.

       gsl_sf_coulomb_wave_FGp_array 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_coulomb_wave_sphF_array
	 Signature: (double x(); double [o]fc(n); int [o]ovfw(); double [o]fe(n); double lam_min; int kmax=>n; double eta)

	Coulomb wave function divided by the argument, F(xi, eta)/xi. This is the function which reduces to spherical Bessel functions in the limit eta->0.

       gsl_sf_coulomb_wave_sphF_array 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_coulomb_CL_e
	 Signature: (double L(); double eta();	double [o]y(); double [o]e())

       Coulomb wave function normalization constant. [Abramowitz+Stegun 14.1.8, 14.1.9].

       gsl_sf_coulomb_CL_e 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							      COULOMB(3pm)

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)