Hypexp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

DOI10.1016/J.CPC.2006.01.007zbMATH Open1196.68326arXivhep-ph/0507094OpenAlexW2028015417MaRDI QIDQ710016

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Publication date: 18 October 2010

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Abstract: We present the Mathematica package HypExp which allows to expand hypergeometric functions ${}_J{F}_{J-1}$ around integer parameters to arbitrary order. At this, we apply two methods, the first one being based on an integral representation, the second one on the nested sums approach. The expansion works for both symbolic argument $z$ and unit argument. We also implemented new classes of integrals that appear in the first method and that are, in part, yet unknown to Mathematica.

Full work available at URL: https://arxiv.org/abs/hep-ph/0507094

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