arXiv:1112.5769 Abstract | arXiv Analytics

arXiv:1112.5769 [math.CA]Abstract References Reviews Resources

Hypergeometric functions as generalized Stieltjes transforms

Published 2011-12-25Version 1

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.

Comments: 16 pages, no figures

Categories: math.CA

Subjects: 33C20, 26A48

Keywords: generalized hypergeometric function, apply generalized stieltjes transform representation, integral representations, properties, conformal map

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