include/gsl/gsl_sf_laguerre.h

0001 /* specfunc/gsl_sf_laguerre.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_LAGUERRE_H__
0023 #define __GSL_SF_LAGUERRE_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 /* L^a_n(x) = (a+1)_n / n! 1F1(-n,a+1,x) */
0041
0042
0043 /* Evaluate generalized Laguerre polynomials
0044  * using explicit representations.
0045  *
0046  * exceptions: none
0047  */
0048 int gsl_sf_laguerre_1_e(const double a, const double x, gsl_sf_result * result);
0049 int gsl_sf_laguerre_2_e(const double a, const double x, gsl_sf_result * result);
0050 int gsl_sf_laguerre_3_e(const double a, const double x, gsl_sf_result * result);
0051 double gsl_sf_laguerre_1(double a, double x);
0052 double gsl_sf_laguerre_2(double a, double x);
0053 double gsl_sf_laguerre_3(double a, double x);
0054
0055
0056 /* Evaluate generalized Laguerre polynomials.
0057  *
0058  * a > -1.0
0059  * n >= 0
0060  * exceptions: GSL_EDOM
0061  */
0062 int     gsl_sf_laguerre_n_e(const int n, const double a, const double x, gsl_sf_result * result);
0063 double     gsl_sf_laguerre_n(int n, double a, double x);
0064
0065
0066 __END_DECLS
0067
0068 #endif /* __GSL_SF_LAGUERRE_H__ */