We present the
Mathematica package
HypExp which allows to expand hypergeometric functions
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.
Program summary
Title of program:HypExp
Catalogue identifier:ADXF_v1_0
Program summary URL: http://cpc.cs.qub.ac.uk/summaries/ADXF_v1_0
Program obtainable from: CPC Program Library, Queen's University of Belfast, N. Ireland
Licence:none
Computers:Computers running Mathematica under Linux or Windows
Operating system:Linux, Windows
Program language:Mathematica
No. of bytes in distributed program, including test data, etc.:739 410
No. of lines in distributed program, including test data, etc.:89 747
Distribution format:tar.gz
Other package needed:the package HPL, included in the distribution
External file required:none
Nature of the physical problem:Expansion of hypergeometric functions around integer-valued parameters. These are needed in the context of dimensional regularization for loop and phase space integrals.
Method of solution:Algebraic manipulation of nested sums and integral representation.
Restrictions on complexity of the problem:Limited by the memory available
Typical running time:Strongly depending on the problem and the availability of libraries.
Abstract
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doi:10.1016/j.disc.2006.03.023 
(1-qa-1y). We prove that the constant term of the Laurent polynomial 
