Asymptotics of derivatives of orthogonal polynomials on the unit circle

DOI10.1016/J.JAT.2006.08.002zbMath1113.41008OpenAlexW1991879234MaRDI QIDQ872003

Doron S. Lubinsky

Publication date: 27 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.jat.2006.08.002

zbMATH Keywords

orthogonal polynomialsunit circlederivativesratio asymptoticsuniform asymptotics

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) Approximation by polynomials (41A10)

Related Items (3)

Derivatives of a finite class of orthogonal polynomials related to inverse gamma distribution ⋮ Asymptotics of derivatives of orthogonal polynomials on the real line ⋮ Asymptotics of the \(L^2\) norm of derivatives of OPUC

Cites Work

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• Uniform asymptotics of derivatives of orthogonal polynomials based on generalized Jacobi weights
• An Asymptotic Formula for the Derivatives of Orthogonal Polynomials
• The Formula steepest descent method and the asymptotic behavior of polynomials orthogonal on the unit circle with fixed and exponentially varying nonanalytic weights
• Pointwise estimates from below of the moduli of the derivatives of orthogonal polynomials on the circle with a weight having singularities

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