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HypExp 2, expanding hypergeometric functions about half-integer parameters

delete2008-05-01
delete182
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OA
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T
Tobias Huber
D
D. Maître *
DOI:10.1016/j.cpc.2007.12.008delete
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Abstract

Abstract

En 中文
In this article, we describe a new algorithm for the expansion of hypergeometric functions about half-integer parameters. The implementation of this algorithm for certain classes of hypergeometric functions in the already existing Mathernatica package HypExp is described. Examples of applications in Feynman diagrams with up to four loops are given.
Keywords:
3-LOOP FEYNMAN DIAGRAMS
INVERSE BINOMIAL SUMS
TRANSCENDENTAL FUNCTIONS
ONE-LOOP
DIMENSIONAL REGULARIZATION
HARMONIC POLYLOGARITHMS
DIFFERENTIAL-EQUATIONS
MATHEMATICA PACKAGE
EPSILON-EXPANSION
MASTER INTEGRALS
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Journal

Computer Physics Communications cover
Computer Physics Communications
IF:
3.4
Papers:
1.2W
Citations:
3.7W

Organization

R
RWTH Aachen University
Scholars:
3.5W
Papers: 2.6W
Citations: 3.6W
U
university of zurich
Scholars:
5.0W
Papers: 4.0W
Citations: 65