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

页码：81 / 87

页数：7

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