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

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.

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

References in corpus (4)

• HPL, a Mathematica implementation of the harmonic polylogarithms
• Electromagnetic Logarithms in B -> X_s l+ l-
• Two-Loop Quark and Gluon Form Factors in Dimensional Regularisation
• Series and epsilon-expansion of the hypergeometric functions

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