On a series representation for Carleman orthogonal polynomials

DOI10.1090/S0002-9939-2010-10583-XzbMath1213.30072OpenAlexW2073502801MaRDI QIDQ3065706

Erwin Miña-Díaz, Peter D. Dragnev

Publication date: 6 January 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10583-x

zbMATH Keywords

conformal mappingasymptotic representationCarleman polynomialplane orthogonality

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10) Asymptotic representations in the complex plane (30E15)

Related Items (6)

Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation ⋮ Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary ⋮ Bergman orthogonal polynomials and the Grunsky matrix ⋮ Asymptotics of polynomials orthogonal over circular multiply connected domains ⋮ On the leading coefficient of polynomials orthogonal over domains with corners ⋮ Limited-memory LDL\(^{\top}\) factorization of symmetric quasi-definite matrices with application to constrained optimization

Cites Work

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• An expansion for polynomials orthogonal over an analytic Jordan curve
• Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics
• An Asymptotic Integral Representation for Carleman Orthogonal Polynomials

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