On finite-term recurrence relations for Bergman and Szegő polynomials

DOI10.1007/BF03321834zbMath1267.30011OpenAlexW1995334830MaRDI QIDQ1930668

Nikos S. Stylianopoulos, Laurent Baratchart, Edward B. Saff

Publication date: 11 January 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321834

zbMATH Keywords

weightsSzegő polynomialsrecurrence relationsBergman orthogonal polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Polynomials and rational functions of one complex variable (30C10) Quasiconformal mappings in the complex plane (30C62) Schwarz-Christoffel-type mappings (30C30) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (3)

Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation ⋮ Ellipses and polynomial-to-polynomial mapping of weighted Szegő projections ⋮ The Bergman shift operator on polynomial lemniscates

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ratio asymptotics for polynomials orthogonal on arcs on the unit circle
• The dual of a Bergman space on simply connected domains.
• Finite-term relations for planar orthogonal polynomials
• Recurrence Relations for Orthogonal Polynomials and Algebraicity of Solutions of the Dirichlet Problem

This page was built for publication: On finite-term recurrence relations for Bergman and Szegő polynomials