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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)

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AIRY(3) 						User Contributed Perl Documentation						   AIRY(3)

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 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 v5.12.1 2010-07-05 AIRY(3)
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