HypExp 2, Expanding hypergeometric functions about halfinteger parameters
Abstract
In this article, we describe a new algorithm for the expansion of hypergeometric functions about halfinteger 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 summaryProgram 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 halfinteger valued. Solution method:New algorithm implemented in Mathematica. Reasons for new version:Expansion about halfinteger parameters. Summary of revisions:Ability to expand about halfinteger valued parameters added. Restrictions:The classes of hypergeometric functions with halfinteger 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.
 Publication:

Computer Physics Communications
 Pub Date:
 May 2008
 DOI:
 10.1016/j.cpc.2007.12.008
 arXiv:
 arXiv:0708.2443
 Bibcode:
 2008CoPhC.178..755H
 Keywords:

 02.10.De;
 02.30.Gp;
 Algebraic structures and number theory;
 Special functions;
 High Energy Physics  Phenomenology
 EPrint:
 38 pages, 7 figures. Minor changes. Version to appear in CPC. The package can be downloaded from http://krone.physik.unizh.ch/~maitreda/HypExp/