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.
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页码：493 / 497
页数：5
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