| /* specfunc/gsl_sf_zeta.h |
| * |
| * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2004 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 2 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_ZETA_H__ |
| #define __GSL_SF_ZETA_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 |
| |
| |
| /* Riemann Zeta Function |
| * zeta(n) = Sum[ k^(-n), {k,1,Infinity} ] |
| * |
| * n=integer, n != 1 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW |
| */ |
| int gsl_sf_zeta_int_e(const int n, gsl_sf_result * result); |
| double gsl_sf_zeta_int(const int n); |
| |
| |
| /* Riemann Zeta Function |
| * zeta(x) = Sum[ k^(-s), {k,1,Infinity} ], s != 1.0 |
| * |
| * s != 1.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW |
| */ |
| int gsl_sf_zeta_e(const double s, gsl_sf_result * result); |
| double gsl_sf_zeta(const double s); |
| |
| |
| /* Riemann Zeta Function minus 1 |
| * useful for evaluating the fractional part |
| * of Riemann zeta for large argument |
| * |
| * s != 1.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW |
| */ |
| int gsl_sf_zetam1_e(const double s, gsl_sf_result * result); |
| double gsl_sf_zetam1(const double s); |
| |
| |
| /* Riemann Zeta Function minus 1 for integer arg |
| * useful for evaluating the fractional part |
| * of Riemann zeta for large argument |
| * |
| * s != 1.0 |
| * exceptions: GSL_EDOM, GSL_EOVRFLW |
| */ |
| int gsl_sf_zetam1_int_e(const int s, gsl_sf_result * result); |
| double gsl_sf_zetam1_int(const int s); |
| |
| |
| /* Hurwitz Zeta Function |
| * zeta(s,q) = Sum[ (k+q)^(-s), {k,0,Infinity} ] |
| * |
| * s > 1.0, q > 0.0 |
| * exceptions: GSL_EDOM, GSL_EUNDRFLW, GSL_EOVRFLW |
| */ |
| int gsl_sf_hzeta_e(const double s, const double q, gsl_sf_result * result); |
| double gsl_sf_hzeta(const double s, const double q); |
| |
| |
| /* Eta Function |
| * eta(n) = (1-2^(1-n)) zeta(n) |
| * |
| * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW |
| */ |
| int gsl_sf_eta_int_e(int n, gsl_sf_result * result); |
| double gsl_sf_eta_int(const int n); |
| |
| |
| /* Eta Function |
| * eta(s) = (1-2^(1-s)) zeta(s) |
| * |
| * exceptions: GSL_EUNDRFLW, GSL_EOVRFLW |
| */ |
| int gsl_sf_eta_e(const double s, gsl_sf_result * result); |
| double gsl_sf_eta(const double s); |
| |
| |
| __END_DECLS |
| |
| #endif /* __GSL_SF_ZETA_H__ */ |
