Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane

DOI10.1007/s00365-020-09515-0zbMath1469.30007arXiv1905.02397OpenAlexW3101246188MaRDI QIDQ2035496

Gernot Akemann, Iván Parra, Taro Nagao, Graziano Vernizzi

Publication date: 24 June 2021

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02397

zbMATH Keywords

ellipseBergman spaceSelberg integralplanar orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Random matrices (algebraic aspects) (15B52) Polynomials and rational functions of one complex variable (30C10)

Related Items (2)

Planar orthogonal polynomials as type I multiple orthogonal polynomials ⋮ Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels

Uses Software

• DLMF

Cites Work

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