On the distribution of zeros of polynomials orthogonal on the unit circle

DOI10.1016/0021-9045(90)90111-3zbMath0721.42014OpenAlexW1988716029MaRDI QIDQ2640822

Hrushikesh N. Mhaskar, Edward B. Saff

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90111-3

zbMATH Keywords

zeros of polynomialsmonic polynomialsorthogonal polynomials on the unit circlebest polynomial approximants

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

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Cites Work

• Asymptotics for the ratio of leading coefficients of orthonormal polynomials on the unit circle
• Solution of a problem of P. Turán on zeros of orthogonal polynomials on the unit circle
• A class of orthogonal polynomials
• On some problems connected with polynomials orthogonal on the complex unit circle
• ON THE ASYMPTOTICS OF THE RATIO OF ORTHOGONAL POLYNOMIALS. II
• Orthogonal Polynomials, Measures and Recurrences on the Unit Circle
• On Orthogonal Polynomials with Regularly Distributed Zeros
• Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
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