|
Packit |
67cb25 |
/* specfunc/gsl_sf_laguerre.h
|
|
Packit |
67cb25 |
*
|
|
Packit |
67cb25 |
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
|
|
Packit |
67cb25 |
*
|
|
Packit |
67cb25 |
* This program is free software; you can redistribute it and/or modify
|
|
Packit |
67cb25 |
* it under the terms of the GNU General Public License as published by
|
|
Packit |
67cb25 |
* the Free Software Foundation; either version 3 of the License, or (at
|
|
Packit |
67cb25 |
* your option) any later version.
|
|
Packit |
67cb25 |
*
|
|
Packit |
67cb25 |
* This program is distributed in the hope that it will be useful, but
|
|
Packit |
67cb25 |
* WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
Packit |
67cb25 |
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
|
Packit |
67cb25 |
* General Public License for more details.
|
|
Packit |
67cb25 |
*
|
|
Packit |
67cb25 |
* You should have received a copy of the GNU General Public License
|
|
Packit |
67cb25 |
* along with this program; if not, write to the Free Software
|
|
Packit |
67cb25 |
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
|
Packit |
67cb25 |
*/
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
/* Author: G. Jungman */
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
#ifndef __GSL_SF_LAGUERRE_H__
|
|
Packit |
67cb25 |
#define __GSL_SF_LAGUERRE_H__
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
#include <gsl/gsl_sf_result.h>
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
#undef __BEGIN_DECLS
|
|
Packit |
67cb25 |
#undef __END_DECLS
|
|
Packit |
67cb25 |
#ifdef __cplusplus
|
|
Packit |
67cb25 |
# define __BEGIN_DECLS extern "C" {
|
|
Packit |
67cb25 |
# define __END_DECLS }
|
|
Packit |
67cb25 |
#else
|
|
Packit |
67cb25 |
# define __BEGIN_DECLS /* empty */
|
|
Packit |
67cb25 |
# define __END_DECLS /* empty */
|
|
Packit |
67cb25 |
#endif
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
__BEGIN_DECLS
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
/* L^a_n(x) = (a+1)_n / n! 1F1(-n,a+1,x) */
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
/* Evaluate generalized Laguerre polynomials
|
|
Packit |
67cb25 |
* using explicit representations.
|
|
Packit |
67cb25 |
*
|
|
Packit |
67cb25 |
* exceptions: none
|
|
Packit |
67cb25 |
*/
|
|
Packit |
67cb25 |
int gsl_sf_laguerre_1_e(const double a, const double x, gsl_sf_result * result);
|
|
Packit |
67cb25 |
int gsl_sf_laguerre_2_e(const double a, const double x, gsl_sf_result * result);
|
|
Packit |
67cb25 |
int gsl_sf_laguerre_3_e(const double a, const double x, gsl_sf_result * result);
|
|
Packit |
67cb25 |
double gsl_sf_laguerre_1(double a, double x);
|
|
Packit |
67cb25 |
double gsl_sf_laguerre_2(double a, double x);
|
|
Packit |
67cb25 |
double gsl_sf_laguerre_3(double a, double x);
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
/* Evaluate generalized Laguerre polynomials.
|
|
Packit |
67cb25 |
*
|
|
Packit |
67cb25 |
* a > -1.0
|
|
Packit |
67cb25 |
* n >= 0
|
|
Packit |
67cb25 |
* exceptions: GSL_EDOM
|
|
Packit |
67cb25 |
*/
|
|
Packit |
67cb25 |
int gsl_sf_laguerre_n_e(const int n, const double a, const double x, gsl_sf_result * result);
|
|
Packit |
67cb25 |
double gsl_sf_laguerre_n(int n, double a, double x);
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
__END_DECLS
|
|
Packit |
67cb25 |
|
|
Packit |
67cb25 |
#endif /* __GSL_SF_LAGUERRE_H__ */
|