/* 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/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_ */