Asymptotics for polynomials orthogonal over the unit disk with respect to a positive polynomial weight

DOI10.1016/j.jmaa.2010.03.042zbMath1201.30006OpenAlexW1977666086MaRDI QIDQ2637949

Erwin Miña-Díaz

Publication date: 13 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.03.042

zbMATH Keywords

asymptotic behaviororthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Polynomials and rational functions of one complex variable (30C10)

Related Items (4)

Asymptotic properties of extremal polynomials corresponding to measures supported on analytic regions ⋮ Convergence of row sequences of simultaneous Padé-orthogonal approximants ⋮ Orthogonal polynomials in weighted Bergman spaces ⋮ Inverse theorem on row sequences of linear Padé-orthogonal approximation

Cites Work

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• Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics
• On the asymptotic behavior of Faber polynomials for domains with piecewise analytic boundary
• On some problems connected with polynomials orthogonal on the complex unit circle
• Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle

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