HypExp 2, Expanding hypergeometric functions about half-integer parameters

Abstract
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 Mathematica package HypExp is described. Examples of applications in Feynman diagrams with up to four loops are given.

Title of program: HypExp 2
Catalogue Id: ADXF_v2_0

Nature of problem
Expansion of hypergeometric functions about parameters that are integer and/or half-integer valued.

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)

摘要
本文提出一种针对半整数参数处超几何函数（hypergeometric functions）展开的新算法。本文还详述了将该算法应用于特定类别的超几何函数，并集成至现有Mathematica软件包HypExp的实现流程。最后给出了该算法在至多四圈费曼图（Feynman diagrams）中的应用实例。

程序名称：HypExp 2
目录编号：ADXF_v2_0

问题类型：针对参数为整数和/或半整数的超几何函数展开问题。

存放在Mendeley数据中的CPC程序库内的该程序版本如下：
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

本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2019年）