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20172021
most citedRatios of the Gauss hypergeometric functions with parameters shifted by integers: part I

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math.CA2019

On generalization of classical Hurwitz stability criteria for matrix polynomials

Xuzhou Zhan, Alexander Dyachenko

In this paper, we associate a class of Hurwitz matrix polynomials with Stieltjes positive definite matrix sequences. This connection leads to an extension of two classical criteria…

math.CA2019

Discrete multiple orthogonal polynomials on shifted lattices

Alexander Dyachenko, Vladimir Lysov

We introduce a new class of polynomials of multiple orthogonality with respect to the product of classical discrete weights on integer lattices with noninteger shifts. We give…