Szegő transformations and \(n\)th order associated polynomials on the unit circle

DOI10.1016/J.CAMWA.2009.03.040zbMath1186.42015OpenAlexW2032401921MaRDI QIDQ971683

B. E. Eshmatov

Publication date: 16 May 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.03.040

zbMATH Keywords

orthogonal polynomialsprobability measuresVerblunsky parameters\(N\)th associated orthogonal polynomialsCarathéodory and Stieltjes functionsrational spectral transformationsSzegő transformations

Mathematics Subject Classification ID

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

Related Items (1)

On perturbed orthogonal polynomials on the real line and the unit circle via Szegő's transformation

Cites Work

• Unnamed Item
• Spectral transformations for Hermitian Toeplitz matrices
• Geronimus spectral transforms and measures on the complex plane
• Orthogonal polynomials and measures on the unit circle. The geronimus transformations
• Orthogonal polynomials, associated polynomials and functions of the second kind
• Finite perturbations of orthogonal polynomials
• Rational spectral transformations and orthogonal polynomials
• Darboux transformation and perturbation of linear functionals
• A special class of polynomials orthogonal on the unit circle including the associated polynomials
• Upward extension of the Jacobi matrix for orthogonal polynomials
• Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle
• Christoffel transforms and Hermitian linear functionals
• Orthogonal Polynomials and Rational Modifications of Measures

This page was built for publication: Szegő transformations and \(n\)th order associated polynomials on the unit circle