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

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

2005-07-07

arxiv.org/abs/hep-ph/0507094v2

Comput.Phys.Commun. 175 (2006) 122-144

Physics

High Energy Physics

High Energy Physics - Phenomenology

33 pages, latex, 2 figures, the package can be downloaded from http://krone.physik.unizh.ch/~maitreda/HypExp/, minor changes,

Scientific paper

10.1016/j.cpc.2006.01.007

We present the Mathematica package HypExp which allows to expand hypergeometric functions $_JF_{J-1}$ 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.

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