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56 lines
1.4 KiB
Plaintext
56 lines
1.4 KiB
Plaintext
/*
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* bernpoly - Bernoulli polynomials B_n(z) for arbitrary n,z..
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*
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* Copyright (C) 2013,2021 Christoph Zurnieden
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*
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* Calc is open software; you can redistribute it and/or modify it under
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* the terms of the version 2.1 of the GNU Lesser General Public License
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* as published by the Free Software Foundation.
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*
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* Calc is distributed in the hope that it will be useful, but WITHOUT
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* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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* or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General
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* Public License for more details.
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*
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* A copy of version 2.1 of the GNU Lesser General Public License is
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* distributed with calc under the filename COPYING-LGPL. You should have
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* received a copy with calc; if not, write to Free Software Foundation, Inc.
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* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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*
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* Under source code control: 2013/08/11 01:31:28
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* File existed as early as: 2013
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*/
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static resource_debug_level;
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resource_debug_level = config("resource_debug", 0);
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read -once zeta2
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/* Idea by Don Zagier */
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define bernpoly(n,z){
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local h s c k;
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if(isint(n) && n>=0){
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h=0;s=0;c=-1;
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for(k=1;k<=n+1;k++){
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c*=1-(n+2)/k;
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s+=z^n;
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z++;
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h+=c*s/k;
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}
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return h;
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}
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else return -n*hurwitzzeta(1-n,z);
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}
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/*
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* restore internal function from resource debugging
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*/
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config("resource_debug", resource_debug_level),;
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if (config("resource_debug") & 3) {
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print "bernpoly(n,z)";
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}
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