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arXiv 1105.3565math-phcs.SChep-phhep-thmath.CAmath.MP
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HYPERDIRE:超几何函数差分约简:基于MATHEMATICA的包,用于广义超几何函数pFq、F1、F2、F3、F4的差分约简

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

摘要:

HYPERDIRE是一个致力于创建一套基于Mathematica的程序的项目,用于超几何函数的微分约简。目前的版本包括两个部分:一个是pfq,用于操作超几何functions_{p+1} F_p;另一个是Appell F_1F_4,用于操作二元Appell超几何函数F_1,F_2,F_3,F_4。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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