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arXiv · 1105.3565

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

Vladimir V. Bytev·Mikhail Yu. Kalmykov·Bernd A. Kniehl
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Abstract

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: one, pfq, is relevant for manipulations of hypergeometric functions_{p+1}F_p, and the second one, AppellF1F4, for manipulations with Appell hypergeometric functions F_1,F_2,F_3,F_4 of two variables.

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Vladimir V. Bytev, Mikhail Yu. Kalmykov, Bernd A. Kniehl. 2013-05-16. HYPERDIRE: HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions pFq, F1,F2,F3,F4. https://doi.org/10.1016/j.cpc.2013.05.009

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