On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials

DOI10.1134/S008154381506022XzbMath1335.31002MaRDI QIDQ902070

Sergey P. Suetin, Viktor I. Buslaev

Publication date: 7 January 2016

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

zbMATH Keywords

extremal problemslogarithmic potentiallogarithmic energyHermite-Padé approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21) Capacity and harmonic measure in the complex plane (30C85) Simultaneous approximation (41A28) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (15)

An analog of Gonchar's theorem for the \(m\)-point version of Leighton's conjecture ⋮ Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Continued fractions with limit periodic coefficients ⋮ On the distribution of the zeros of the Hermite-Padé polynomials for a quadruple of functions ⋮ On the Van Vleck theorem for limit-periodic continued fractions of general form ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ On some properties of Hermite-Padé approximants to an exponential system ⋮ Distribution of the zeros of Hermite–Padé polynomials for a complex Nikishin system ⋮ Unnamed Item ⋮ On the supports of vector equilibrium measures in the Angelesco problem with nested intervals ⋮ Hermite-Padé approximants of the Mittag-Leffler functions ⋮ On a new approach to the problem of distribution of zeros of Hermite-Padé polynomials for a Nikishin system ⋮ Potentials on a compact Riemann surface ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system ⋮ On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions

Cites Work

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• The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system
• Orthogonal Polynomials and 𝑆-curves

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