/usr/include/gsl/gsl_sf_hyperg.h is in libgsl0-dev 1.16+dfsg-1ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 | /* specfunc/gsl_sf_hyperg.h
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 3 of the License, or (at
* your option) any later version.
*
* This program is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
/* Author: G. Jungman */
#ifndef __GSL_SF_HYPERG_H__
#define __GSL_SF_HYPERG_H__
#include <gsl/gsl_sf_result.h>
#undef __BEGIN_DECLS
#undef __END_DECLS
#ifdef __cplusplus
# define __BEGIN_DECLS extern "C" {
# define __END_DECLS }
#else
# define __BEGIN_DECLS /* empty */
# define __END_DECLS /* empty */
#endif
__BEGIN_DECLS
/* Hypergeometric function related to Bessel functions
* 0F1[c,x] =
* Gamma[c] x^(1/2(1-c)) I_{c-1}(2 Sqrt[x])
* Gamma[c] (-x)^(1/2(1-c)) J_{c-1}(2 Sqrt[-x])
*
* exceptions: GSL_EOVRFLW, GSL_EUNDRFLW
*/
int gsl_sf_hyperg_0F1_e(double c, double x, gsl_sf_result * result);
double gsl_sf_hyperg_0F1(const double c, const double x);
/* Confluent hypergeometric function for integer parameters.
* 1F1[m,n,x] = M(m,n,x)
*
* exceptions:
*/
int gsl_sf_hyperg_1F1_int_e(const int m, const int n, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_1F1_int(const int m, const int n, double x);
/* Confluent hypergeometric function.
* 1F1[a,b,x] = M(a,b,x)
*
* exceptions:
*/
int gsl_sf_hyperg_1F1_e(const double a, const double b, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_1F1(double a, double b, double x);
/* Confluent hypergeometric function for integer parameters.
* U(m,n,x)
*
* exceptions:
*/
int gsl_sf_hyperg_U_int_e(const int m, const int n, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_U_int(const int m, const int n, const double x);
/* Confluent hypergeometric function for integer parameters.
* U(m,n,x)
*
* exceptions:
*/
int gsl_sf_hyperg_U_int_e10_e(const int m, const int n, const double x, gsl_sf_result_e10 * result);
/* Confluent hypergeometric function.
* U(a,b,x)
*
* exceptions:
*/
int gsl_sf_hyperg_U_e(const double a, const double b, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_U(const double a, const double b, const double x);
/* Confluent hypergeometric function.
* U(a,b,x)
*
* exceptions:
*/
int gsl_sf_hyperg_U_e10_e(const double a, const double b, const double x, gsl_sf_result_e10 * result);
/* Gauss hypergeometric function 2F1[a,b,c,x]
* |x| < 1
*
* exceptions:
*/
int gsl_sf_hyperg_2F1_e(double a, double b, const double c, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_2F1(double a, double b, double c, double x);
/* Gauss hypergeometric function
* 2F1[aR + I aI, aR - I aI, c, x]
* |x| < 1
*
* exceptions:
*/
int gsl_sf_hyperg_2F1_conj_e(const double aR, const double aI, const double c, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_2F1_conj(double aR, double aI, double c, double x);
/* Renormalized Gauss hypergeometric function
* 2F1[a,b,c,x] / Gamma[c]
* |x| < 1
*
* exceptions:
*/
int gsl_sf_hyperg_2F1_renorm_e(const double a, const double b, const double c, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_2F1_renorm(double a, double b, double c, double x);
/* Renormalized Gauss hypergeometric function
* 2F1[aR + I aI, aR - I aI, c, x] / Gamma[c]
* |x| < 1
*
* exceptions:
*/
int gsl_sf_hyperg_2F1_conj_renorm_e(const double aR, const double aI, const double c, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_2F1_conj_renorm(double aR, double aI, double c, double x);
/* Mysterious hypergeometric function. The series representation
* is a divergent hypergeometric series. However, for x < 0 we
* have 2F0(a,b,x) = (-1/x)^a U(a,1+a-b,-1/x)
*
* exceptions: GSL_EDOM
*/
int gsl_sf_hyperg_2F0_e(const double a, const double b, const double x, gsl_sf_result * result);
double gsl_sf_hyperg_2F0(const double a, const double b, const double x);
__END_DECLS
#endif /* __GSL_SF_HYPERG_H__ */
|