Localization of zeros of polar polynomials on the unit disk

DOI10.1216/rmj.2024.54.995MaRDI QIDQ6635526

R. S. Costas-Santos, Abdelhamid Rehouma

Publication date: 12 November 2024

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsunit circlelocation of zerosLaurent seriespolar polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

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• On polar Legendre polynomials
• Asymptotics of derivatives of orthogonal polynomials on the real line
• Verblunsky parameters and linear spectral transformations
• On Sendov's conjecture for roots near the unit circle
• Bemerkungen zu einem Satz von J. H. Grace über die Wurzeln algebraischer Gleichungen.
• Theorems on algebraic equations
• Zeros of hypergeometric functions
• Orthogonality of Jacobi polynomials with general parameters
• Conjectures on the Critical Points of a Polynomial
• Orthogonal Polynomials and Rational Modifications of Measures
• On the location of the zeros of a polynomial
• On the zeros of a polynomial.

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