Distribution of Zeros and Critical Points of a Polynomial, and Sendov's Conjecture

被引:0
|
作者
Sofi, G. M. [1 ]
Shah, W. M. [1 ]
机构
[1] Cent Univ Kashmir, Kashmir, India
关键词
polynomials; zeros; critical points;
D O I
10.3103/S1068362323050084
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
According to the Gauss-Lucas theorem, the critical points of a complex polynomial p(z):= Sigma(n )(j=0)a(j)z(j) where a(j) always lie in the convex hull of its zeros. In this paper, we prove certain relations between the distribution of zeros of a polynomial and its critical points. Using these relations, we prove the well-known Sendov's conjecture for certain special cases.
引用
收藏
页码:384 / 388
页数:5
相关论文
共 50 条