HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

T. Huber; D. Maitre

doi:10.1016/j.cpc.2006.01.007

HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

高能物理 - 唯象学 2009-11-11 v2

作者: T. Huber , D. Maitre

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摘要

We present the Mathematica package HypExp which allows to expand hypergeometric functions $_JF_{J-1}$ 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.

引用

@article{arxiv.hep-ph/0507094,
  title  = {HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters},
  author = {T. Huber and D. Maitre},
  journal= {arXiv preprint arXiv:hep-ph/0507094},
  year   = {2009}
}

备注

33 pages, latex, 2 figures, the package can be downloaded from http://krone.physik.unizh.ch/~maitreda/HypExp/, minor changes, works now under Windows

HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters

摘要

引用

备注

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