NumExp: Numerical epsilon expansion of hypergeometric functions

Published: 01-08-2013| Version 1 | DOI: 10.17632/wwzc722vdn.1
Contributors:
Zhi-Wei Huang,
Jueping Liu

Description

Abstract It is demonstrated that the well-regularized hypergeometric functions can be evaluated directly and numerically. The package NumExp is presented for expanding hypergeometric functions and/or other transcendental functions in a small regularization parameter. The hypergeometric function is expressed as a Laurent series in the regularization parameter and the coefficients are evaluated numerically by using the multi-precision finite difference method. This elaborate expansion method works for a... Title of program: NumExp Catalogue Id: AEPE_v1_0 Nature of problem Expansion of hypergeometric functions and/or other transcendental functions in a small parameter ε. These expansions are needed in the context of dimensional regularization for loop integrals. Versions of this program held in the CPC repository in Mendeley Data AEPE_v1_0; NumExp; 10.1016/j.cpc.2013.03.016 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

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