On the zeros of a polynomial and its derivative

André Joyal

Type: Article

Publication Date: 1969-05-01

Citations: 22

DOI: https://doi.org/10.1016/0022-247x(69)90155-3

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Locations

Journal of Mathematical Analysis and Applications - View

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Works That Cite This (22)

Action	Title	Year	Authors
+	Numerical solution of polynomial equations	1994	Bl. Sendov A. B. Andreev N. Kjurkchiev
+	Sendov's conjecture for sufficiently high degree polynomials	2020	Terence Tao
+	On Ilieff's conjecture	1977	Gerhard Schmeißer
+	On the Ilyeff-Sendov conjecture for polynomials with at most five zeros	1992	Sampath Kumar B. G. Shenoy
+ PDF Chat	A STABILITY VERSION OF THE GAUSS–LUCAS THEOREM AND APPLICATIONS	2019	Stefan Steinerberger
+	On the zeros of the derivative of a rational function	1988	A. W. Goodman
+ PDF Chat	Sendov’s conjecture for sufficiently-high-degree polynomials	2022	Terence Tao
+ PDF Chat	The Distribution of Zeros of the Derivative of a Random Polynomial	2013	Robin Pemantle Igor Rivin
+	Conjectures on the Critical Points of a Polynomial	1983	Morris Marden
+	Leaky Roots and Stable Gauss-Lucas Theorems	2018	Trevor Richards Stefan Steinerberger

Works Cited by This (6)

Action	Title	Year	Authors
+	Research Problems in Function Theory	1967	W. K. Hayman
+	On the zeros of a polynomial and its derivative	1969	André Joyal
+ PDF Chat	On a problem of Ilyeff	1968	Zalman Rubinstein
+ PDF Chat	On the zeros of a polynomial and its derivative	1969	A. W. Goodman Q. I. Rahman J. S. Ratti
+	On a conjecture of Ilieff	1968	David A. Brannan
+	On univalent polynomials and related classes of functions	1967	David A. Brannan