Distribution of zeros and critical points of a polynomial, and Sendov's conjecture

DOI10.3103/s1068362323050084MaRDI QIDQ6193808

Wali Mohammad Shah, G. M. Sofi

Publication date: 19 March 2024

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

zerosestimatespolynomialscritical 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)
• Maximal Polynomials and the Ilieff-Sendov Conjecture
• A Remark on Sendov Conjectur
• On the zeros of a polynomial and its derivative
• Sendov conjecture for high degree polynomials
• Some Classes of Polynomials Satisfying Sendov’s Conjecture

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