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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
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| Organization: | Joint Institute for Nuclear Research, |
| Organization: | Deutsches Elektronen-Synchrotron DESY |
| Organization: | Universität Hamburg |
| Department: | II. Institut für Theoretische Physik |
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| Computer Physics Communications |
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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.
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Hypergeometric functions, Differential reduction, Feynman diagrams
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