1 /** @file inifcns_zeta.cpp
3 * Implementation of the Zeta-function and some related stuff. */
6 * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
8 * This program is free software; you can redistribute it and/or modify
9 * it under the terms of the GNU General Public License as published by
10 * the Free Software Foundation; either version 2 of the License, or
11 * (at your option) any later version.
13 * This program is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 * GNU General Public License for more details.
18 * You should have received a copy of the GNU General Public License
19 * along with this program; if not, write to the Free Software
20 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
31 #include "operators.h"
37 // Derivatives of Riemann's Zeta-function zeta(0,x)==zeta(x)
40 static ex zeta2_eval(const ex & n, const ex & x)
42 if (n.info(info_flags::numeric)) {
43 // zeta(0,x) -> zeta(x)
48 return zeta(n, x).hold();
51 static ex zeta2_deriv(const ex & n, const ex & x, unsigned deriv_param)
53 GINAC_ASSERT(deriv_param<2);
57 throw(std::logic_error("cannot diff zeta(n,x) with respect to n"));
63 unsigned zeta2_SERIAL::serial =
64 function::register_new(function_options("zeta").
65 eval_func(zeta2_eval).
66 derivative_func(zeta2_deriv).