HYPERDIRE-HYPERgeometric functions DIfferential REduction:Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function F-C of three variables
We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differential equations. Specifically, we present the implementation of the differential reduction for the Lauricella function FC of three variables.
Program summary
Program title: HYPERDIRE
Catalogue identifier: AEPP_v4_0
Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEPP_v4_0.html
Program obtainable from: CPC Program Library, Queen’s University, Belfast, N. Ireland
Licensing provisions: GNU General Public License, version 3
No. of lines in distributed program, including test data, etc.: 243461
No. of bytes in distributed program, including test data, etc.: 61610782
Distribution format: tar.gz
Programming language: Mathematica.
Computer: All computers running Mathematica.
Operating system: Operating 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 hypergeometric function FC of three variables to a set of basis functions.
Solution method:
Differential reduction.
Reasons for new version:
The extension package allows the user to handle the Lauricella function FC of three variables.