Relations between univalent and orthogonal polynomials

DOI10.1016/J.JMAA.2006.10.011zbMath1117.30007OpenAlexW1980044677MaRDI QIDQ882025

Vanessa Bertoni

Publication date: 23 May 2007

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.2006.10.011

zbMATH Keywords

Szegő polynomialspara-orthogonal polynomialszeroesclose-to-convexunivalent polynomials

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) 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)

Cites Work

• Polynomials generated by a three term recurrence relation: bounds for complex zeros
• Szegö polynomials: Some relations to \(L\)-orthogonal and orthogonal polynomials
• Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
• On Univalent Polynomials
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