This paper is concerned with Hermite-Padé rational approximants of analytic functions and
their connection with multiple orthogonal polynomial ensembles of random matrices. Results …

Spectral and factorization properties of oscillatory matrices lead to a spectral Favard
theorem for bounded banded matrices, that admit a positive bidiagonal factorization, in …

A spectral Favard theorem is derived for bounded banded lower Hessenberg matrices that
possess a positive bidiagonal factorization. The rich knowledge concerning the spectral and …

Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kampé de Fériet
hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then …

Аппроксимации Эрмита--Паде и ансамбли совместно ортогональных многоч Page 1
2011 г. ноябрь — декабрь т. 66, вып. 6 (402) УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК УДК …

Abstract The paper considers Hermite-Padé approximants to systems of Markov functions
defined by means of directed graphs. The minimization problem for the energy functional is …

We consider a set of measures on the real line and the corresponding system of multiple
orthogonal polynomials (MOPs) of the first and second type. Under some very mild …

Системы марковских функций, генерируемые графами, и асимптотика их ап Page 1 2010
МАТЕМАТИЧЕСКИЙ СБОРНИК Том 201, № 2 УДК 517.53 АИАптекарев, ВГЛысов Системы …

We characterize all the multiple orthogonal three-fold symmetric polynomial sequences
whose sequence of derivatives is also multiple orthogonal. Such a property is commonly …

We study two families of type II discrete multiple orthogonal polynomials on an-legged star-
like set with respect to weight functions of Charlier (Poisson distributions) and Meixner …