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HYPERgeometric functions DIfferential REduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: FD and FS Horn-type hypergeometric functions of three variables

Vladimir V. Bytev
Organization: Joint Institute for Nuclear Research,
Mikhail Yu. Kalmykov
Organization: Deutsches Elektronen-Synchrotron DESY
Sven-Olaf Moch
Organization: Universität Hamburg
Department: II. Institut für Theoretische Physik
Journal / Anthology

Computer Physics Communications
Year: 2014
Volume: 185
Page range: 3041–3058

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.

*Science > Physics

Hypergeometric functions, Differential reduction, Feynman diagrams