Multiplicity of zeros of polynomials

DOI10.1016/J.JAT.2021.105594zbMath1472.30005OpenAlexW3161017908MaRDI QIDQ2037068

Vilmos Totik

Publication date: 30 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.jat.2021.105594

zbMATH Keywords

potential theorypolynomialsmultiplicity of zeros

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Cites Work

• Polynomials with prescribed zeros on an analytic curve
• Chebyshev polynomials on compact sets
• Polynomial and rational inequalities on analytic Jordan arcs and domains
• An improvement of the Erdős-Turán theorem on the distribution of zeros of polynomials
• Extremal polynomials associated with a system of curves in the complex plane
• Polynomials with zeros and small norm on curves
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