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arXiv · 0807.0637

Hypergeometric functions with rational arguments

T. Huber
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Abstract

We elaborate on the expansion of hypergeometric functions about rational parameters, where we focus mainly on the integer and half-integer case. The strategy and the basic steps of a recently developed algorithm for the expansion about half-integer parameters are described. The algorithm is implemented in the Mathematica package HypExp, by means of which we derive (partially new) results of selected multi-loop Feynman diagrams. Moreover, we give a new formulation of a conjecture in the context of a three-loop master integral in HQET.

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T. Huber. 2008-07-03. Hypergeometric functions with rational arguments. https://doi.org/10.1016/j.nuclphysbps.2008.09.110

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