Christoffel formula for kernel polynomials on the unit circle

DOI10.1016/j.jat.2018.05.001zbMath1441.33008arXiv1701.04995OpenAlexW2582984446MaRDI QIDQ1663843

A. Sri Ranga, Cleonice F. Bracciali, Andrei Martínez-Finkelshtein, Daniel O. Veronese

Publication date: 24 August 2018

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

Full work available at URL: https://arxiv.org/abs/1701.04995

zbMATH Keywords

orthogonal functionsthree term recurrence relationorthogonal polynomials on the unit circleChristoffel formulas

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

A modified least squares method: approximations on the unit circle and on \((-1,1)\) ⋮ Complementary Romanovski-Routh polynomials: From orthogonal polynomials on the unit circle to Coulomb wave functions ⋮ Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions

Cites Work

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• Basic hypergeometric functions and orthogonal Laurent polynomials
• Szegő polynomials from hypergeometric functions
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Orthogonal polynomials
• Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure
• CMV Biorthogonal Laurent Polynomials: Perturbations and Christoffel Formulas
• The Christoffel-Darboux Kernel

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