HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables
HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions. Program summary Program title: HYPERDIRE Catalogue identifier: AEPP\_v2\_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEPP\_v2\_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: GNU General Public License No. of lines in distributed program, including test data, etc,: 896 No. of bytes in distributed program, including test data, etc.: 27172 Distribution format: tar.gz Programming language: Mathematica. Computer: All computers running Mathematica. Operating system: Operation systems running Mathematica. Classification: 4.4. Does the new version supersede the previous version?: No, it significantly extends the previous version. Nature of problem: Reduction of Horn-type hypergeometric functions of two variables to a set of basis functions Solution method: Differential reduction Reasons for new version: The extension package allows the user to handle all Horn-type hypergeometric functions of two variables. Summary of revisions: The previous version goes unchanged. Running time: Depends on the complexity of the problem (C) 2014 Elsevier B.V. All rights reserved.