A note on the structure of the zeros of a polynomial and Sendov's conjecture

DOI10.56754/0719-0646.2503.515MaRDI QIDQ6147451

G. M. Sofi, Wali Mohammad Shah

Publication date: 15 January 2024

Published in: Cubo (Temuco) (Search for Journal in Brave)

zbMATH Keywords

zerospolynomialscritical 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) Polynomials and rational functions of one complex variable (30C10) Inequalities in the complex plane (30A10)

Cites Work

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• On a conjecture of Sendov about the critical points of a polynomial
• Proof of the Sendov conjecture for polynomials of degree at most eight
• On the Sendov conjecture for polynomials with at most six distinct roots
• Sendov's conjecture: a note on a paper of Dégot
• On a problem of Ilyeff
• Bemerkungen zu einer Vermutung von Ilieff
• Zur Lage der kritischen Punkte eines Polynoms. (The position of critical points of a polynomial)
• On Sendov's conjecture
• Maximal Polynomials and the Ilieff-Sendov Conjecture
• A Remark on Sendov Conjectur
• Sendov conjecture for high degree polynomials
• Some Classes of Polynomials Satisfying Sendov’s Conjecture
• Sendov's conjecture for sufficiently-high-degree polynomials

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