Hypergeometric functions as generalized Stieltjes transforms

Details Hypergeometric functions as generalized Stieltjes transforms Hypergeometric functions as generalized Stieltjes transforms

2011-12-25

arxiv.org/abs/1112.5769v1

Mathematics

Classical Analysis and ODEs

16 pages, no figures

Scientific paper

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.

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