Distribution of critical points of polynomials

DOI10.1090/tran/7667zbMath1432.30005OpenAlexW2887119255MaRDI QIDQ5227956

Vilmos Totik

Publication date: 7 August 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7667

zbMATH Keywords

potential theorypolynomialsdistribution of critical points

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)

Related Items (2)

The flow of polynomial roots under differentiation ⋮ Critical points of polynomials

Cites Work

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• On polynomial eigenfunctions for a class of differential operators
• Balayage properties related to rational interpolation
• The Gauss–Lucas theorem in an asymptotic sense
• Critical points of random polynomials with independent identically distributed roots

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