On the zeros of a polynomial and its derivative

DOI10.1017/S000497270000472XzbMath0559.30005OpenAlexW2131972302MaRDI QIDQ5185287

Abdul Aziz

Publication date: 1985

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270000472x

zbMATH Keywords

zeros of polynomials

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)

Related Items (7)

Majorization of the critical points of a polynomial by its zeros ⋮ On the zeros of the derivative of a rational function ⋮ Results pertaining to the Sendov conjecture ⋮ Distribution of zeros and critical points of a polynomial, and Sendov's conjecture ⋮ On the location of critical points of a polynomial ⋮ On the Sendov Conjecture for Sixth Degree Polynomials ⋮ Pairing between zeros and critical points of random polynomials with independent roots

Cites Work

• Unnamed Item
• On Ilieff's conjecture
• On a problem of Ilyeff
• On Ilyeff's conjecture
• On polynomials whose zeros are in the unit disk
• Simple Proof of a Theorem of Erdos and Lax
• Much Ado About Nothing
• On the Zeros of a Polynomial and its Derivative
• Inequalities of A. Markoff and S. Bernstein for polynomials and related functions

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