Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

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Manuscript Title: NumExp: Numerical epsilon expansion of hypergeometric functions | ||

Authors: Zhi-Wei Huang, Jueping Liu | ||

Program title: NumExp | ||

Catalogue identifier: AEPE_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 184(2013)1973 | ||

Programming language: Mathematica and/or Python. | ||

Computer: Any computer where Mathematica or Python is running. | ||

Operating system: Linux, Windows. | ||

Keywords: Hypergeometric functions, Expansion, Feynman diagrams. | ||

PACS: 02.30.Gp, 02.30.Mv, 12.38.Bx. | ||

Classification: 4.4, 5, 11.1. | ||

External routines: mpmath library (for Python) | ||

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. | ||

Solution method:Hypergeometric function is expressed as a Laurent series in the regularization parameter ε, where the coefficients are evaluated numerically by multi-precision finite difference method. | ||

Restrictions:The calculation may be inefficient if the arguments of hypergeometric functions are close to the convergent boundaries. | ||

Running time:Generally it is less than a few seconds, depending on the complexity of the problem. |

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