Epsilon expansion of Appell and Kampé de Fériet functions
Abstract
The decomposition in partial fractions of the quotient of Pochhammer symbols improves considerably a method, suggested in a precedent paper, which allows one to obtain the $\varepsilon$-expansion of functions of the hypergeometric class. The procedure is applied to several Appell and Kampé de Fériet functions considered in the literature. Explicit expressions and interesting properties of the derivatives of the Pochhammer and reciprocal Pochhammer symbols, which are essential elements in the procedure, are given in an appendix.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2013
- DOI:
- 10.48550/arXiv.1310.7700
- arXiv:
- arXiv:1310.7700
- Bibcode:
- 2013arXiv1310.7700G
- Keywords:
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- Mathematical Physics;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 18 pages - Version published in J. Math. Phys. Some corrections and references added