1 /* specfunc/gsl_sf_gegenbauer.h
3 * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
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.
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.
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.
20 /* Author: G. Jungman */
22 #ifndef __GSL_SF_GEGENBAUER_H__
23 #define __GSL_SF_GEGENBAUER_H__
25 #include <gsl/gsl_sf_result.h>
30 # define __BEGIN_DECLS extern "C" {
31 # define __END_DECLS }
33 # define __BEGIN_DECLS /* empty */
34 # define __END_DECLS /* empty */
40 /* Evaluate Gegenbauer polynomials
41 * using explicit representations.
45 int gsl_sf_gegenpoly_1_e(double lambda, double x, gsl_sf_result * result);
46 int gsl_sf_gegenpoly_2_e(double lambda, double x, gsl_sf_result * result);
47 int gsl_sf_gegenpoly_3_e(double lambda, double x, gsl_sf_result * result);
48 double gsl_sf_gegenpoly_1(double lambda, double x);
49 double gsl_sf_gegenpoly_2(double lambda, double x);
50 double gsl_sf_gegenpoly_3(double lambda, double x);
53 /* Evaluate Gegenbauer polynomials.
55 * lambda > -1/2, n >= 0
56 * exceptions: GSL_EDOM
58 int gsl_sf_gegenpoly_n_e(int n, double lambda, double x, gsl_sf_result * result);
59 double gsl_sf_gegenpoly_n(int n, double lambda, double x);
62 /* Calculate array of Gegenbauer polynomials
63 * for n = (0, 1, 2, ... nmax)
65 * lambda > -1/2, nmax >= 0
66 * exceptions: GSL_EDOM
68 int gsl_sf_gegenpoly_array(int nmax, double lambda, double x, double * result_array);
73 #endif /* __GSL_SF_GEGENBAUER_H__ */