HypExp 2, Expanding hypergeometric functions about half-integer parameters

Published: 15 May 2008| Version 1 | DOI: 10.17632/cphpktd5cn.1
Tobias Huber, Daniel Maître


Abstract In this article, we describe a new algorithm for the expansion of hypergeometric functions about half-integer parameters. The implementation of this algorithm for certain classes of hypergeometric functions in the already existing Mathematica package HypExp is described. Examples of applications in Feynman diagrams with up to four loops are given. Title of program: HypExp 2 Catalogue Id: ADXF_v2_0 Nature of problem Expansion of hypergeometric functions about parameters that are integer and/or half-integer valued. Versions of this program held in the CPC repository in Mendeley Data ADXF_v1_0; HypExp; 10.1016/j.cpc.2006.01.007 ADXF_v2_0; HypExp 2; 10.1016/j.cpc.2007.12.008 ADXF_v2_1; HypExp 2; 10.1016/j.cpc.2011.11.016 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computer Algebra System, Computational Method