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

نویسندگان

  • Vladimir V. Bytev
  • Mikhail Yu. Kalmykov
  • Sven-Olaf Moch
چکیده

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. PACS numbers: 02.30.Gp, 02.30.Lt, 11.15.Bt, 12.38.Bx

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عنوان ژورنال:
  • Computer Physics Communications

دوره 185  شماره 

صفحات  -

تاریخ انتشار 2014