Hypergeometric functions as generalized Stieltjes transforms
Classical Analysis and ODEs
2011-12-30 v1
Abstract
In this paper we apply generalized Stieltjes transform representation to study the generalized hypergeometric function. Among the results thus proved are new integral representations, inequalities, properties of the Pad\'{e} table and the properties of the generalized hypergeometric function as a conformal map.
Cite
@article{arxiv.1112.5769,
title = {Hypergeometric functions as generalized Stieltjes transforms},
author = {Dmitry Karp and Elena Prilepkina},
journal= {arXiv preprint arXiv:1112.5769},
year = {2011}
}
Comments
16 pages, no figures