High-order recurrence relations, Hermite-Padé approximation and Nikishin systems

DOI10.1070/SM8724zbMath1401.30037arXiv1604.07772OpenAlexW2964069252MaRDI QIDQ4576884

D. Barrios Rolanía, Jeffrey S. Geronimo, Guillermo López Lagomasino

Publication date: 11 July 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07772

zbMATH Keywords

Chebyshev polynomialsHermite-Padé approximationNikishin systemssequences of polynomials with high-order recurrence relations

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) Approximation by rational functions (41A20)

Related Items (8)

On the Darboux transformations and sequences of \(p\)-orthogonal polynomials ⋮ Zeros of polynomials generated by a rational function with a hyperbolic-type denominator ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ On an example of the Nikishin system ⋮ Characteristic polynomials of random banded Hessenberg matrices and Hermite-Padé approximation ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Geronimus transformations for sequences of \(d\)-orthogonal polynomials ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system

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