| Path : /usr/share/calc/ |
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| Current File : //usr/share/calc/bernpoly.cal |
/*
* bernpoly - Bernoully polynomials B_n(z) for arbitrary n,z..
*
* Copyright (C) 2013 Christoph Zurnieden
*
* Calc is open software; you can redistribute it and/or modify it under
* the terms of the version 2.1 of the GNU Lesser General Public License
* as published by the Free Software Foundation.
*
* Calc 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 Lesser General
* Public License for more details.
*
* A copy of version 2.1 of the GNU Lesser General Public License is
* distributed with calc under the filename COPYING-LGPL. You should have
* received a copy with calc; if not, write to Free Software Foundation, Inc.
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
* Under source code control: 2013/08/11 01:31:28
* File existed as early as: 2013
*/
static resource_debug_level;
resource_debug_level = config("resource_debug", 0);
read -once zeta2
/* Idea by Don Zagier */
define bernpoly(n,z){
local h s c k;
if(isint(n) && n>=0){
h=0;s=0;c=-1;
for(k=1;k<=n+1;k++){
c*=1-(n+2)/k;
s+=z^n;
z++;
h+=c*s/k;
}
return h;
}
else return -n*hurwitzzeta(1-n,z);
}
/*
* restore internal function from resource debugging
*/
config("resource_debug", resource_debug_level),;
if (config("resource_debug") & 3) {
print "bernpoly(n,z)";
}