HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

Published: 15 July 2006| Version 1 | DOI: 10.17632/7s82zvt4hn.1
T. Huber, D. Maître


Abstract We present the Mathematica package HypExp which allows to expand hypergeometric functions _J F_(J - 1)around integer parameters to arbitrary order. At this, we apply two methods, the first one being based on an integral representation, the second one on the nested sums approach. The expansion works for both symbolic argument z and unit argument. We also implemented new classes of integrals that appear in the first method and that are, in part, yet unknown to Mathematica. Title of program: HypExp Catalogue Id: ADXF_v1_0 Nature of problem Expansion of hypergeometric functions around integer-valued parameters. These are needed in the context of dimensional regularisation for loop and phase space integrals. 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