This article is cited in 3 papers

On some potential-theoretic problems related to the asymptotics of Hermite–Padé polynomials

N. R. Ikonomov^a, S. P. Suetin<sup>b

a</sup> Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria
^b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: Some mixed potential-theoretic equilibrium problems are treated. These problems are motivated by the asymptotic properties of rational approximants based on type II Hermite–Padé polynomials for Nikishin systems of functions.
Bibliography: 26 titles.

Keywords: potential-theoretic problems, mixed potentials, Hermite–Padé polynomials, Nikishin system, Riemann surface.

MSC: 31A99, 41A21

Received: 27.10.2023 and 27.04.2024

DOI: 10.4213/sm10018

 English version: Sbornik: Mathematics, 2024, 215:8, 1053–1064

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