Asymptotics of orthogonal polynomials and point perturbation on the unit circle

DOI10.1016/j.jat.2010.01.002zbMath1206.33012arXiv1009.1637OpenAlexW2014904572MaRDI QIDQ979045

Manwah Lilian Wong

Publication date: 25 June 2010

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

Full work available at URL: https://arxiv.org/abs/1009.1637

zbMATH Keywords

bounded variationpoint massesasymptotics of orthogonal polynomialsKooman's theorem

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) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic representations in the complex plane (30E15)

Related Items (2)

A new approach to ratio asymptotics for orthogonal polynomials ⋮ Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients

Cites Work

• Generalized bounded variation and inserting point masses
• Perturbations of orthogonal polynomials with periodic recursion coefficients
• A formula for inserting point masses
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• Decomposition of matrix sequences
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• Orthogonal polynomials on the circumference and arcs of the circumference
• Ratio and relative asymptotics of polynomials orthogonal with respect to varying Denisov-type measures
• Some asymptotic properties for orthogonal polynomials with respect to varying measures
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• Orthogonal Polynomials, Measures and Recurrences on the Unit Circle
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