AIRY(3pm) User Contributed Perl Documentation AIRY(3pm)NAME
PDL::GSLSF::AIRY - 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_airy_Ai
Signature: (double x(); double [o]y(); double [o]e())
Airy Function Ai(x).
gsl_sf_airy_Ai 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_airy_Bi
Signature: (double x(); double [o]y(); double [o]e())
Airy Function Bi(x).
gsl_sf_airy_Bi 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_airy_Ai_scaled
Signature: (double x(); double [o]y(); double [o]e())
Scaled Airy Function Ai(x). Ai(x) for x < 0 and exp(+2/3 x^{3/2}) Ai(x) for x > 0.
gsl_sf_airy_Ai_scaled 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_airy_Bi_scaled
Signature: (double x(); double [o]y(); double [o]e())
Scaled Airy Function Bi(x). Bi(x) for x < 0 and exp(+2/3 x^{3/2}) Bi(x) for x > 0.
gsl_sf_airy_Bi_scaled 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_airy_Ai_deriv
Signature: (double x(); double [o]y(); double [o]e())
Derivative Airy Function Ai`(x).
gsl_sf_airy_Ai_deriv 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_airy_Bi_deriv
Signature: (double x(); double [o]y(); double [o]e())
Derivative Airy Function Bi`(x).
gsl_sf_airy_Bi_deriv 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_airy_Ai_deriv_scaled
Signature: (double x(); double [o]y(); double [o]e())
Derivative Scaled Airy Function Ai(x). Ai`(x) for x < 0 and exp(+2/3 x^{3/2}) Ai`(x) for x > 0.
gsl_sf_airy_Ai_deriv_scaled 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_airy_Bi_deriv_scaled
Signature: (double x(); double [o]y(); double [o]e())
Derivative Scaled Airy Function Bi(x). Bi`(x) for x < 0 and exp(+2/3 x^{3/2}) Bi`(x) for x > 0.
gsl_sf_airy_Bi_deriv_scaled 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 AIRY(3pm)
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 FunctionsFUNCTIONS
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)