8 citations · 10 across the 5 of their papers we have counts for
6 papers
Alternative approach to Miller-Paris transformations and their extensions
D. B. Karp, E. G. Prilepkina
Miller-Paris transformations are extensions of Euler's transformations for the Gauss hypergeometric functions to generalized hypergeometric functions of higher-order having integra…
Representations of hypergeometric functions for arbitrary parameter values and their use
D. Karp, J. L. López
Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known…
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…
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…
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…
Hypergeometric reproducing kernels and analytic continuation from a half-line
Dmitry B. Karp
Indefinite inner product spaces of entire functions and functions analytic inside a disk are considered and their completeness studied. Spaces induced by the rotation invariant rep…