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Hypergeometric functions as generalized Stieltjes transforms

Published 25 Dec 2011 in math.CA | (1112.5769v1)

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.

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