On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system

DOI10.1134/S0081543818040193zbMath1405.30038arXiv1805.07577OpenAlexW2885740589MaRDI QIDQ1798082

Sergey P. Suetin

Publication date: 23 October 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07577

zbMATH Keywords

Riemann surfacedistribution of zerosNikishin systemHermite-Padé polynomialsharmonic external field

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximation in the complex plane (30E10) Padé approximation (41A21) Riemann surfaces (30F99)

Related Items (5)

Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ Mixed type Hermite-Padé approximants for a Nikishin system ⋮ Interpolation properties of Hermite–Padé polynomials ⋮ On the supports of vector equilibrium measures in the Angelesco problem with nested intervals ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system

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