Some results for the Sendov conjecture

被引：2
|
作者：
Byrne, A
机构：
[1] Department of Mathematics, University of Melbourne, Parkville
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 199卷 / 03期
关键词：
D O I：
10.1006/jmaa.1996.0173
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Sendov conjecture may be stated as: If all zeros of a complex polynomial p(z) lie in \z\ less than or equal to 1, then there is always a zero of p'(z) in \z - a\ less than or equal to 1, where a is any zero of p(z). We find several easy to apply conditions for which this conjecture is true for polynomials of degree n. Ranges of values of a implied by these conditions are also given. (C) 1996 Academic Press, Inc.
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页码：754 / 768
页数：15
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