Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle

DOI10.1080/10652469.2011.649751zbMath1273.42025OpenAlexW2060485899MaRDI QIDQ4915298

Luis E. Garza, Francisco Marcellán, Kenier Castillo

Publication date: 10 April 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.649751

zbMATH Keywords

orthogonal polynomialszerosouter relative asymptoticsSobolev inner productsprobability measures on the unit circle

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (4)

On computational aspects of discrete Sobolev inner products on the unit circle ⋮ Matrix Uvarov transformation on the unit circle: asymptotic properties ⋮ Orthogonal polynomials with respect to a family of Sobolev inner products on the unit circle ⋮ A class of Sobolev orthogonal polynomials on the unit circle and associated continuous dual Hahn polynomials: bounds, asymptotics and zeros

Cites Work

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• Spectral transformations for Hermitian Toeplitz matrices
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• Asymptotic behavior of Sobolev-type orthogonal polynomials on the unit circle
• Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc
• Remarks on E. A. Rahmanov's paper On the asymptotics of the ratio of orthogonal polynomials
• Sobolev-type orthogonal polynomials on the unit circle.
• Some properties of zeros of Sobolev-type orthogonal polynomials
• Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• ON CONVERGENCE OF PADÉ APPROXIMANTS FOR SOME CLASSES OF MEROMORPHIC FUNCTIONS

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