| /* specfunc/hyperg.h |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman |
| * |
| * This program is free software; you can redistribute it and/or modify |
| * it under the terms of the GNU General Public License as published by |
| * the Free Software Foundation; either version 2 of the License, or (at |
| * your option) any later version. |
| * |
| * This program is distributed in the hope that it will be useful, but |
| * WITHOUT ANY WARRANTY; without even the implied warranty of |
| * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| * General Public License for more details. |
| * |
| * You should have received a copy of the GNU General Public License |
| * along with this program; if not, write to the Free Software |
| * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
| */ |
| |
| /* Author: G. Jungman */ |
| |
| /* Miscellaneous implementations of use |
| * for evaluation of hypergeometric functions. |
| */ |
| #ifndef _HYPERG_H_ |
| #define _HYPERG_H_ |
| |
| #include <gsl/gsl_sf_result.h> |
| |
| |
| /* Direct implementation of 1F1 series. |
| */ |
| int |
| gsl_sf_hyperg_1F1_series_e(const double a, const double b, const double x, gsl_sf_result * result); |
| |
| |
| /* Implementation of the 1F1 related to the |
| * incomplete gamma function: 1F1(1,b,x), b >= 1. |
| */ |
| int |
| gsl_sf_hyperg_1F1_1_e(double b, double x, gsl_sf_result * result); |
| |
| |
| /* 1F1(1,b,x) for integer b >= 1 |
| */ |
| int |
| gsl_sf_hyperg_1F1_1_int_e(int b, double x, gsl_sf_result * result); |
| |
| |
| /* Implementation of large b asymptotic. |
| * [Bateman v. I, 6.13.3 (18)] |
| * [Luke, The Special Functions and Their Approximations v. I, p. 129, 4.8 (4)] |
| * |
| * a^2 << b, |x|/|b| < 1 - delta |
| */ |
| int |
| gsl_sf_hyperg_1F1_large_b_e(const double a, const double b, const double x, gsl_sf_result * result); |
| |
| |
| /* Implementation of large b asymptotic. |
| * |
| * Assumes a > 0 is small, x > 0, and |x|<|b|. |
| */ |
| int |
| gsl_sf_hyperg_U_large_b_e(const double a, const double b, const double x, |
| gsl_sf_result * result, |
| double * ln_multiplier |
| ); |
| |
| |
| /* Implementation of 2F0 asymptotic series. |
| */ |
| int |
| gsl_sf_hyperg_2F0_series_e(const double a, const double b, const double x, int n_trunc, |
| gsl_sf_result * result); |
| |
| |
| #endif /* !_HYPERG_H_ */ |