X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Finifcns_gamma.cpp;h=46c8ea9e00e717652b188a0979f18224bc639fa0;hp=30c413ee178d8c8577595dcdd5b1456bd2d1b8c8;hb=beeb0818e9cdb1b5de0ba2754286ad7bb2a9d032;hpb=7d870583a6bf21a2ffb7b6f051b702064623892e diff --git a/ginac/inifcns_gamma.cpp b/ginac/inifcns_gamma.cpp index 30c413ee..46c8ea9e 100644 --- a/ginac/inifcns_gamma.cpp +++ b/ginac/inifcns_gamma.cpp @@ -4,7 +4,7 @@ * some related stuff. */ /* - * GiNaC Copyright (C) 1999-2008 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany * * 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 @@ -21,9 +21,6 @@ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA */ -#include -#include - #include "inifcns.h" #include "constant.h" #include "pseries.h" @@ -35,6 +32,9 @@ #include "symmetry.h" #include "utils.h" +#include +#include + namespace GiNaC { ////////// @@ -110,10 +110,26 @@ static ex lgamma_series(const ex & arg, } +static ex lgamma_conjugate(const ex & x) +{ + // conjugate(lgamma(x))==lgamma(conjugate(x)) unless on the branch cut + // which runs along the negative real axis. + if (x.info(info_flags::positive)) { + return lgamma(x); + } + if (is_exactly_a(x) && + !x.imag_part().is_zero()) { + return lgamma(x.conjugate()); + } + return conjugate_function(lgamma(x)).hold(); +} + + REGISTER_FUNCTION(lgamma, eval_func(lgamma_eval). evalf_func(lgamma_evalf). derivative_func(lgamma_deriv). series_func(lgamma_series). + conjugate_func(lgamma_conjugate). latex_name("\\log \\Gamma")); @@ -207,10 +223,18 @@ static ex tgamma_series(const ex & arg, } +static ex tgamma_conjugate(const ex & x) +{ + // conjugate(tgamma(x))==tgamma(conjugate(x)) + return tgamma(x.conjugate()); +} + + REGISTER_FUNCTION(tgamma, eval_func(tgamma_eval). evalf_func(tgamma_evalf). derivative_func(tgamma_deriv). series_func(tgamma_series). + conjugate_func(tgamma_conjugate). latex_name("\\Gamma")); @@ -328,8 +352,8 @@ REGISTER_FUNCTION(beta, eval_func(beta_eval). evalf_func(beta_evalf). derivative_func(beta_deriv). series_func(beta_series). - latex_name("\\mbox{B}"). - set_symmetry(sy_symm(0, 1))); + latex_name("\\mathrm{B}"). + set_symmetry(sy_symm(0, 1))); //////////