Zeros of polynomials orthogonal on two arcs of the unit circle

DOI10.1016/j.jat.2004.10.009zbMath1067.30008OpenAlexW2093307092MaRDI QIDQ1763779

Alexey L. Lukashov, Franz Peherstorfer

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jat.2004.10.009

zbMATH Keywords

orthogonal polynomialszeros

Mathematics Subject Classification ID

Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

Basic hypergeometric functions and orthogonal Laurent polynomials ⋮ Zeros of polynomials orthogonal on two arcs of the unit circle ⋮ Szegő polynomials from hypergeometric functions ⋮ An expansion for polynomials orthogonal over an analytic Jordan curve ⋮ Extremal polynomials on arcs of the circle with zeros on these arcs

Cites Work

• Classification theorems for general orthogonal polynomials on the unit circle
• On snakes and approximation of discontinuous functions in the Hausdorff metric
• An inverse problem associated with polynomials orthogonal on the unit circle
• Orthogonal and extremal polynomials on several intervals
• Asymptotic behaviour of orthogonal polynomials on the unit circle with asymptotically periodic reflection coefficients
• Rogers-Ramanujan and the Baker-Gammel-Wills (Padé) conjecture
• Zeros of polynomials orthogonal on two arcs of the unit circle
• On the zeros of orthogonal polynomials: the elliptic case
• Orthogonal polynomials on arcs of the unit circle. I
• Characterization of orthogonal polynomials with respect to a functional
• Orthogonal polynomials on the circumference and arcs of the circumference
• Extremal polynomials associated with a system of curves in the complex plane
• On a problem of the best approximation
• Orthogonal polynomials on arcs of the unit circle. II: Orthogonal polynomials with periodic reflection coefficients
• ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
• Padé approximants and efficient analytic continuation of a power series
• Strong Asymptotics of Orthonormal Polynomials with the Aid of Green's Function
• Inequalities for derivatives of rational functions on several intervals
• Elliptic Orthogonal and Extremal Polynomials
• Circular parameters of polynomials orthogonal on several arcs of the unit circle
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Zeros of polynomials orthogonal on two arcs of the unit circle