On Sendov's Conjecture

被引：1

作者：

Sofi, G. M. ^{[1
]}

Shah, W. M. ^{[1
]}

机构：

[1] Cent Univ Kashmir, Dept Math, Ganderbal 191201, India

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 01期

关键词：

Polynomials; Zeros; Critical points; POLYNOMIALS;

D O I：

10.1007/s12215-021-00690-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Sendov's Conjecture asserts that if all the zeros of a polynomial p lie inside the closed unit disk then a closed unit disk centered at each of its zeros contains a critical point of p . In this paper, we show that the Sendov's Conjecture holds for a polynomial if all its zeros lie on a line or a circle inside the unit disk.

引用

页码：493 / 497

页数：5

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