HypExp 2, Expanding hypergeometric functions about half-integer parameters

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. New version program summary Program title:HypExp 2 Catalogue identifier:ADXF_v2_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADXF_v2_0.html Program obtainable from:CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions:Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.:106 401 No. of bytes in distributed program, including test data, etc.:2 668 729 Distribution format:tar.gz Programming language:Mathematica Computer:Computers running Mathematica Operating system:Linux, Windows, Mac RAM:Depending on the complexity of the problem Supplementary material:Library files which contain the expansion of certain hypergeometric functions around their parameters are available Classification:4.7, 5 Does the new version supersede the previous version?:Yes Nature of problem:Expansion of hypergeometric functions about parameters that are integer and/or half-integer valued. Solution method:New algorithm implemented in Mathematica. Reasons for new version:Expansion about half-integer parameters. Summary of revisions:Ability to expand about half-integer valued parameters added. Restrictions:The classes of hypergeometric functions with half-integer parameters that can be expanded are listed below. Additional comments:The package uses the package HPL included in the distribution. Running time:Depending on the expansion.