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Conjectures on the Critical Points of a Polynomial

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Publication:3319000
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DOI10.2307/2975758zbMath0535.30010OpenAlexW4251168120MaRDI QIDQ3319000

Morris Marden

Publication date: 1983

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975758

zbMATH Keywords

critical pointextremal polynomial


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) Polynomials and rational functions of one complex variable (30C10)


Related Items

Non-Archimedean Sendov's conjecture, Sendov conjecture for high degree polynomials, On the Sendov Conjecture for Sixth Degree Polynomials, Pairing between zeros and critical points of random polynomials with independent roots, On the Ilyeff-Sendov conjecture for polynomials with at most five zeros, Continuous Independence and the Ilieff-Sendov Conjecture, Maximal Polynomials and the Ilieff-Sendov Conjecture, Extremal Problems for Polynomials in the Complex Plane, Proof of the Sendov conjecture for polynomials of degree at most eight, On the zeros of a polynomial and its derivatives, On a conjecture of Sendov about the critical points of a polynomial



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