On the distribution of the roots of polynomial zk - zk-1 - ... - z - 1

被引：3

作者：

Gomez, Carlos A. ^{[1
]}

Luca, Florian ^{[2
,3
,4
]}

机构：

[1] Univ Valle, Dept Matemat, Calle 13 100-00, Cali, Colombia

[2] Univ Witwatersrand, Sch Math, 1 Jan Smuts Ave, ZA-2000 Johannesburg, South Africa

[3] King Abdulaziz Univ, Res Grp Algebra Struct & Related Top, POB 80200, Jeddah 21598, Saudi Arabia

[4] UNAM, Ctr Ciencias Matemat, Antigua Carretera Patzcuaro 8701, Morelia 58089, Michoacan, Mexico

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2021年 / 62卷 / 03期

关键词：

polynomial root distribution;

D O I：

10.14712/1213-7243.2021.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the polynomial f(k)(z) = z(k) - z(k-1) - ... - z - 1 for k >= 2 which arises as the characteristic polynomial of the k-generalized Fibonacci sequence. In this short paper, we give estimates for the absolute values of the roots of f(k)(z) which lie inside the unit disk.

引用

页码：291 / 296

页数：6

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