2008/07/03 by T. Huber
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Mathematical functions and polynomials #Polynomial and algebraic computation #hep-ph
paper · pdf · doi:10.1016/j.nuclphysbps.2008.09.110
published as Nucl.Phys.Proc.Suppl.183:238-244,2008 · 7 pages, 2 figures. Contribution to the proceedings of "Loops and Legs in Quantum Field Theory", 2008, Sondershausen, Germany
arxiv created 2008/07/03 · openalex publication_date 2008/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.