Szegő transformation and zeros of analytic perturbations of Chebyshev weights

DOI10.1016/j.jmaa.2018.10.021zbMath1404.30005OpenAlexW2897471886MaRDI QIDQ1799800

Alicia Cachafeiro, Elías Berriochoa, Francisco Marcellán

Publication date: 19 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.10.021

zbMATH Keywords

zeros of orthogonal polynomialsChebyshev weight functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (1)

Gibbs-Wilbraham phenomenon on Lagrange interpolation based on analytic weights on the unit circle

Cites Work

• Szegő orthogonal polynomials with respect to an analytic weight: Canonical representation and strong asymptotics
• Fine structure of the zeros of orthogonal polynomials. I: A tale of two pictures
• On a conjectured inequality for the largest zero of Jacobi polynomials
• Quadrature formula and zeros of para-orthogonal polynomials on the unit circle
• Connection between orthogonal polynomials on the unit circle and bounded interval
• First and second kind paraorthogonal polynomials and their zeros
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Szegő transformation and zeros of analytic perturbations of Chebyshev weights