NumExp: Numerical epsilon expansion of hypergeometric functions

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)