Browsing by Subject "Faber polynomials"
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Article
Asymptotics for Hessenberg Matrices for the Bergman Shift Operator on Jordan Regions
(2014)Let G be a bounded Jordan domain in the complex plane. The Bergman polynomials {pn}n=0∞ of G are the orthonormal polynomials with respect to the area measure over G. They are uniquely defined by the entries of an infinite ...
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Bergman Orthogonal Polynomials and the Grunsky Matrix
(2017)By exploiting a link between Bergman orthogonal polynomials and the Grunsky matrix, probably first observed by Kühnau (Ann Acad Sci Math 10:313–329, 1985), we improve on some recent results on strong asymptotics of Bergman ...
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Article
Strong Asymptotics for Bergman Polynomials over Domains with Corners and Applications
(2013)Let G be a bounded simply-connected domain in the complex plane ℂ, whose boundary Γ {colon equals} ∂G is a Jordan curve, and let {pn}n=0 ∞denote the sequence of Bergman polynomials of G. This is defined as the unique ...