132 citations · 392 across the 24 of their papers we have counts for
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Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions
A. I. Aptekarev, S. A. Denisov, M. L. Yattselev
In this work, we establish strong asymptotics of multiple orthogonal polynomials of the second type for Angelesco systems with measures that satisfy Szegő conditions. We consider m…
Continuity of weighted operators, Muckenhoupt weights, and Steklov problem for orthogonal polynomials
Michel Alexis, Alexander Aptekarev, Sergey Denisov
We consider weighted operators acting on and show that they depend continuously on the weight in the operator topology. Then, we use th…
Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class
Alexander I. Aptekarev, Rostyslav Kozhan
A limiting property of the nearest-neighbor recurrence coefficients for multiple orthogonal polynomials from a Nevai class is investigated. Namely, assuming that the nearest-neighb…
Self-adjoint Jacobi matrices on trees and multiple orthogonal polynomials
Alexander I. Aptekarev, Sergey A. Denisov, Maxim L. Yattselev
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 assumptions…
Szegő-type asymptotics for ray sequences of Frobenius-Padé approximants
Alexander I. Aptekarev, Alexey I. Bogolubsky, Maxim L. Yattselev
Let be a Cauchy transform of a possibly complex-valued Borel measure and be a system of orthonormal polynomials with respect to a measure , $\mathrm{su…
Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports
Alexander I. Aptekarev, Walter Van Assche, Maxim L. Yattselev
Hermite-Padé approximants of type II are vectors of rational functions with common denominator that interpolate a given vector of power series at infinity with maximal order. We ar…