Epsilon expansion of Appell and Kamp\'e de F\'eriet functions
Mathematical Physics
2014-03-31 v3 High Energy Physics - Phenomenology
High Energy Physics - Theory
math.MP
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 -expansion of functions of the hypergeometric class. The procedure is applied to several Appell and Kamp\'e de F\'eriet 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.
Keywords
Cite
@article{arxiv.1310.7700,
title = {Epsilon expansion of Appell and Kamp\'e de F\'eriet functions},
author = {David Greynat and Javier Sesma and Grégory Vulvert},
journal= {arXiv preprint arXiv:1310.7700},
year = {2014}
}
Comments
18 pages - Version published in J. Math. Phys. Some corrections and references added