Do orthogonal polynomials dream of symmetric curves?

DOI10.1007/s10208-016-9313-0zbMath1356.42019arXiv1511.09175OpenAlexW2253913112MaRDI QIDQ506620

Andrei Martínez-Finkelshtein, Evguenii A. Rakhmanov

Publication date: 1 February 2017

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09175

zbMATH Keywords

extremal problemsquadratic differentialsnon-Hermitian orthogonality\(S\)-propertyzero asymptoticslogarithmic potential theorycritical measuresequilibrium on the complex plane

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21) Real polynomials: location of zeros (26C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Covering theorems in conformal mapping theory (30C25)

Related Items (6)

Matrix-valued orthogonal polynomials related to hexagon tilings ⋮ Supercritical regime for the kissing polynomials ⋮ Critical measures on higher genus Riemann surfaces ⋮ The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument ⋮ Asymptotic root distribution of Charlier polynomials with large negative parameter ⋮ A periodic hexagon tiling model and non-Hermitian orthogonal polynomials

Uses Software

• DLMF

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