include/gsl/gsl_sf_gegenbauer.h

0001 /* specfunc/gsl_sf_gegenbauer.h
0002  *
0003  * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
0004  *
0005  * This program is free software; you can redistribute it and/or modify
0006  * it under the terms of the GNU General Public License as published by
0007  * the Free Software Foundation; either version 3 of the License, or (at
0008  * your option) any later version.
0009  *
0010  * This program is distributed in the hope that it will be useful, but
0011  * WITHOUT ANY WARRANTY; without even the implied warranty of
0012  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
0013  * General Public License for more details.
0014  *
0015  * You should have received a copy of the GNU General Public License
0016  * along with this program; if not, write to the Free Software
0017  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
0018  */
0019
0020 /* Author:  G. Jungman */
0021
0022 #ifndef __GSL_SF_GEGENBAUER_H__
0023 #define __GSL_SF_GEGENBAUER_H__
0024
0025 #include <gsl/gsl_sf_result.h>
0026
0027 #undef __BEGIN_DECLS
0028 #undef __END_DECLS
0029 #ifdef __cplusplus
0030 # define __BEGIN_DECLS extern "C" {
0031 # define __END_DECLS }
0032 #else
0033 # define __BEGIN_DECLS /* empty */
0034 # define __END_DECLS /* empty */
0035 #endif
0036
0037 __BEGIN_DECLS
0038
0039
0040 /* Evaluate Gegenbauer polynomials
0041  * using explicit representations.
0042  *
0043  * exceptions: none
0044  */
0045 int gsl_sf_gegenpoly_1_e(double lambda, double x, gsl_sf_result * result);
0046 int gsl_sf_gegenpoly_2_e(double lambda, double x, gsl_sf_result * result);
0047 int gsl_sf_gegenpoly_3_e(double lambda, double x, gsl_sf_result * result);
0048 double gsl_sf_gegenpoly_1(double lambda, double x);
0049 double gsl_sf_gegenpoly_2(double lambda, double x);
0050 double gsl_sf_gegenpoly_3(double lambda, double x);
0051
0052
0053 /* Evaluate Gegenbauer polynomials.
0054  *
0055  * lambda > -1/2, n >= 0
0056  * exceptions: GSL_EDOM
0057  */
0058 int gsl_sf_gegenpoly_n_e(int n, double lambda, double x, gsl_sf_result * result);
0059 double gsl_sf_gegenpoly_n(int n, double lambda, double x);
0060
0061
0062 /* Calculate array of Gegenbauer polynomials
0063  * for n = (0, 1, 2, ... nmax)
0064  *
0065  * lambda > -1/2, nmax >= 0
0066  * exceptions: GSL_EDOM
0067  */
0068 int gsl_sf_gegenpoly_array(int nmax, double lambda, double x, double * result_array);
0069
0070
0071 __END_DECLS
0072
0073 #endif /* __GSL_SF_GEGENBAUER_H__ */