8 citations · 10 across the 5 of their papers we have counts for
Showing 2011 · math.CAShow all
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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…
math.CA2011
Convergence analysis of a Padé family of iterations for the matrix sector function
Dmitry B. Karp, Minghua Lin
The main purpose of this paper is to give a solution to a conjecture concerning a Padé family of iterations for the matrix sector function that was recently raised by B. Laszkiewic…