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- /* 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 3 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_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_ */
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