Hermite-Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports

DOI10.1002/cpa.21675zbMath1362.41001arXiv1505.03993OpenAlexW3106001204WikidataQ64157434 ScholiaQ64157434MaRDI QIDQ2965549

Alexander I. Aptekarev, Maxim L. Yattselev, Walter Van Assche

Publication date: 3 March 2017

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03993

zbMATH Keywords

zero distributionAngelesco systemMarkov functionRiemann-Hilbert problemsHermite-Padé approximantsNikishin system

Mathematics Subject Classification ID

Padé approximation (41A21) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (11)

On the parametrization of a certain algebraic curve of genus 2 ⋮ Hermite-Padé approximations with Pfaffian structures: Novikov peakon equation and integrable lattices ⋮ Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai class ⋮ Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight ⋮ Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ Hermite-Padé approximants for meromorphic functions on a compact Riemann surface ⋮ On a vector potential-theory equilibrium problem with the Angelesco matrix ⋮ Hesse parametrization of a spectral curve ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source ⋮ Riemann-Hilbert analysis for a Nikishin system ⋮ On the supports of vector equilibrium measures in the Angelesco problem with nested intervals

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