Palindromic and perturbed polynomials: zeros location

被引：3
|
作者：
Botta, V. [1 ]
Marques, L. F. [1 ]
Meneguette, M. [1 ]
机构：
[1] Univ Estadual Paulista, Dept Matemat & Comp, Fac Ciencias & Tecnol, Presidente Prudente, SP, Brazil
来源：
ACTA MATHEMATICA HUNGARICA | 2014年 / 143卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
palindromic polynomial; perturbed polynomial; zero; POWER-SERIES; UNIT-CIRCLE;
D O I：
10.1007/s10474-013-0382-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give necessary and sufficient conditions for all zeros of the palindromic polynomial R(z)=1+lambda(z+z (2)+aEuro broken vertical bar+z (n-1))+z (n) , , to be on the unit circle and we find for which S(z)=R(z)+gamma z (n) , n natural, has all its zeros in the closed unit disc.
引用
收藏
页码：81 / 87
页数：7
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