Asymptotics of polynomials orthogonal over the unit disk with respect to a polynomial weight without zeros on the unit circle

DOI10.1016/J.JAT.2012.09.006zbMath1267.33009OpenAlexW1978978372MaRDI QIDQ1935493

Erwin Miña-Díaz

Publication date: 18 February 2013

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

Full work available at URL: https://doi.org/10.1016/j.jat.2012.09.006

zbMATH Keywords

asymptotic behaviororthogonal polynomialsweighted Bergman kernel

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) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (4)

Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation ⋮ Relative asymptotics of orthogonal polynomials for perturbed measures ⋮ Orthogonal polynomials in weighted Bergman spaces ⋮ Asymptotics of polynomials orthogonal over circular multiply connected domains

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