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math.CA2011
Hypergeometric functions as generalized Stieltjes transforms
Dmitry Karp, Elena Prilepkina
In this paper we apply generalized Stieltjes transform representation to study the generalized hypergeometric function. Among the results thus proved are new integral representatio…
math.CA2011★ 8 cited
Generalized Stieltjes transforms: basic aspects
Dmitry Karp, Elena Prilepkina
The paper surveys the basic properties of generalized Stieltjes functions including some new ones. We introduce the notion of the exact Stieltjes order and give a criterion of exac…