HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
收藏Mendeley Data2023-02-23 更新2024-06-26 收录
下载链接：
https://data.mendeley.com/datasets/7s82zvt4hn
下载链接
链接失效反馈官方服务：
资源简介：
Abstract
We present the Mathematica package HypExp which allows to expand hypergeometric functions _J F_(J - 1)around integer parameters to arbitrary order. At this, we apply two methods, the first one being based on an integral representation, the second one on the nested sums approach. The expansion works for both symbolic argument z and unit argument. We also implemented new classes of integrals that appear in the first method and that are, in part, yet unknown to Mathematica.
Title of program: HypExp
Catalogue Id: ADXF_v1_0
Nature of problem
Expansion of hypergeometric functions around integer-valued parameters. These are needed in the context of dimensional regularisation for loop and phase space integrals.
Versions of this program held in the CPC repository in Mendeley Data
ADXF_v1_0; HypExp; 10.1016/j.cpc.2006.01.007
ADXF_v2_0; HypExp 2; 10.1016/j.cpc.2007.12.008
ADXF_v2_1; HypExp 2; 10.1016/j.cpc.2011.11.016
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)
创建时间：
2020-01-06
