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. Progra...

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Bibliographic Details
Published in:Computer physics communications Vol. 189; pp. 128 - 154
Main Authors: Bytev, Vladimir V., Kniehl, Bernd A.
Format: Journal Article
Language:English
Published: Elsevier B.V 01.04.2015
Subjects:
Differential reduction
Hypergeometric functions
Licenses
Mathematical analysis
Mathematical models
Operating systems
Packages
Reduction
Running
Summaries
Hypergeometric functions
Differential reduction
ISSN:0010-4655, 1879-2944
Online Access:Get full text
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Summary: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 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
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ISSN:0010-4655
1879-2944
DOI:10.1016/j.cpc.2014.11.022