HYPERDIRE: HYPERgeometric functions DIfferential REduction MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: now with pFq, F1,F2,F3,F4

Physics – Mathematical Physics

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41 pages, 3 figures

Scientific paper

The HYPERDIRE is a project devoted to creation of a set of Mathematica based programs for differential reduction of hypergeometric functions. The current version includes two parts: one, pfq, is relevant to manipulation with hypergeometric functions pFq, and second, AppellF1F4, to manipulations with Appells hypergeometric functions of two variables F1,F2,F3,F4. As application, a few multiloop Feynman Diagrams of propagator type are considered. This Mathematica-based code is available via the www at this URL https://sites.google.com/site/loopcalculations/home

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