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[Licence| Download | New Version Template] aepp_v3_0.tar.gz(7 Kbytes)
Manuscript Title: HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: FD and FS Horn-type hypergeometric functions of three variables
Authors: Vladimir V. Bytev, Mikhail Yu. Kalmykov, Sven-Olaf Moch
Program title: HYPERDIRE
Catalogue identifier: AEPP_v3_0
Distribution format: tar.gz
Journal reference: Comput. Phys. Commun. 185(2014)3041
Programming language: Mathematica.
Computer: All computers running Mathematica.
Operating system: All operating systems running Mathematica.
Keywords: Hypergeometric functions, Differential reduction, Feynman diagrams.
PACS: 02.30.Gp, 02.30.Lt, 11.15.Bt, 12.38.Bx.
Classification: 4.4.

Does the new version supersede the previous version?: No. It is an extension to the previous program, which performs reductions of hypergeometric functions pFp, F1, F2, F3 and F4

Nature of problem:
Reduction of hypergeometric functions FD and FS to the set of basis functions.

Solution method:
Differential reduction.

Reasons for new version:
New algorithms for the reduction of multivariable Lauricella functions, Horn functions, (hypergeometric functions FD and FS)

Summary of revisions:
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 includes two parts: the first one, FdFunction, for manipulations with Appell hypergeometric functions FD of r variables; and the second one, FsFunction, for manipulations with Lauricella-Saran hypergeometric functions FS of three variables. Both functions are related with one-loop Feynman diagrams.

Running time:
Depends on the complexity of problem.