Relative asymptotics of orthogonal polynomials for perturbed measures

DOI10.1070/SM8793zbMath1395.30039arXiv1608.01803OpenAlexW2963078605MaRDI QIDQ4576887

Edward B. Saff, Nikos S. Stylianopoulos

Publication date: 11 July 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01803

zbMATH Keywords

orthogonal polynomialspolynomial small pertubation of a measure

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Moment problems and interpolation problems in the complex plane (30E05) Polynomials and rational functions of one complex variable (30C10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (2)

Comparative asymptotics for discrete semiclassical orthogonal polynomials ⋮ Asymptotics of polynomials orthogonal over circular multiply connected domains

Cites Work

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• Strong asymptotics for Bergman polynomials over domains with corners and applications
• Asymptotic properties of extremal polynomials corresponding to measures supported on analytic regions
• Asymptotics for Hessenberg matrices for the Bergman shift operator on Jordan regions
• Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction
• Zero distributions for polynomials orthogonal with weights over certain planar regions
• Asymptotics of orthogonal polynomials via the Koosis theorem
• The distribution of zeros of asymptotically extremal polynomials
• Approximation of conformal mapping via the Szegő kernel method
• On exceptional sets of asymptotic relations for general orthogonal polynomials
• Asymptotics of polynomials orthogonal over the unit disk with respect to a polynomial weight without zeros on the unit circle
• A new approach to ratio asymptotics for orthogonal polynomials
• On the zeros of asymptotically extremal polynomial sequences in the plane
• Finite-term relations for planar orthogonal polynomials
• Ratio Asymptotics, Hessenberg Matrices, and Weak Asymptotic Measures
• Boundary Estimates for Bergman Polynomials in Domains with Corners
• Christoffel functions on curves and domains
• Recurrence Relations for Orthogonal Polynomials and Algebraicity of Solutions of the Dirichlet Problem
• Chebyshev and fast decreasing polynomials
• Orthogonal Polynomials for Area-Type Measures and Image Recovery
• FUNDAMENTAL PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A CONTOUR

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