On the zeros of asymptotically extremal polynomial sequences in the plane

DOI10.1016/j.jat.2014.10.003zbMath1312.31011arXiv1409.0726OpenAlexW1989566105MaRDI QIDQ2255303

Nikos S. Stylianopoulos, Edward B. Saff

Publication date: 9 February 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0726

zbMATH Keywords

balayagezeros of polynomialsextremal polynomialsequilibrium measure

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Schwarz-Christoffel-type mappings (30C30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (6)

Relative asymptotics of orthogonal polynomials for perturbed measures ⋮ Widom factors and Szegő-Widom asymptotics, a review ⋮ Asymptotics of Chebyshev polynomials. IV: Comments on the complex case ⋮ Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane ⋮ Asymptotics of polynomials orthogonal over circular multiply connected domains ⋮ Zeros of Faber polynomials for Joukowski airfoils

Cites Work

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• Strong asymptotics for Bergman polynomials over domains with corners and applications
• Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction
• Development of the mapping function at an analytic corner
• Zero distributions for polynomials orthogonal with weights over certain planar regions
• The distribution of zeros of asymptotically extremal polynomials
• Zero distribution of Bergman orthogonal polynomials for certain planar domains
• Balayage properties related to rational interpolation
• Lemniscate growth
• Asymptotic distribution of the zeros of Faber polynomials

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