1/* specfunc/gsl_sf_laguerre.h
2 *
3 * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
4 *
5 * This program is free software; you can redistribute it and/or modify
6 * it under the terms of the GNU General Public License as published by
7 * the Free Software Foundation; either version 3 of the License, or (at
8 * your option) any later version.
9 *
10 * This program is distributed in the hope that it will be useful, but
11 * WITHOUT ANY WARRANTY; without even the implied warranty of
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
13 * General Public License for more details.
14 *
15 * You should have received a copy of the GNU General Public License
16 * along with this program; if not, write to the Free Software
17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
18 */
19
20/* Author: G. Jungman */
21
22#ifndef __GSL_SF_LAGUERRE_H__
23#define __GSL_SF_LAGUERRE_H__
24
25#include <gsl/gsl_sf_result.h>
26
27#undef __BEGIN_DECLS
28#undef __END_DECLS
29#ifdef __cplusplus
30# define __BEGIN_DECLS extern "C" {
31# define __END_DECLS }
32#else
33# define __BEGIN_DECLS /* empty */
34# define __END_DECLS /* empty */
35#endif
36
37__BEGIN_DECLS
38
39
40/* L^a_n(x) = (a+1)_n / n! 1F1(-n,a+1,x) */
41
42
43/* Evaluate generalized Laguerre polynomials
44 * using explicit representations.
45 *
46 * exceptions: none
47 */
48int gsl_sf_laguerre_1_e(const double a, const double x, gsl_sf_result * result);
49int gsl_sf_laguerre_2_e(const double a, const double x, gsl_sf_result * result);
50int gsl_sf_laguerre_3_e(const double a, const double x, gsl_sf_result * result);
51double gsl_sf_laguerre_1(double a, double x);
52double gsl_sf_laguerre_2(double a, double x);
53double gsl_sf_laguerre_3(double a, double x);
54
55
56/* Evaluate generalized Laguerre polynomials.
57 *
58 * a > -1.0
59 * n >= 0
60 * exceptions: GSL_EDOM
61 */
62int gsl_sf_laguerre_n_e(const int n, const double a, const double x, gsl_sf_result * result);
63double gsl_sf_laguerre_n(int n, double a, double x);
64
65
66__END_DECLS
67
68#endif /* __GSL_SF_LAGUERRE_H__ */
69