Exceptional zeros of polynomials satisfying a three-term recurrence

被引：0
|
作者：
Mai, Anh Duc [1 ]
机构：
[1] Truman State Univ, Kirksville, MO 63501 USA
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 03期
关键词：
ROOT DISTRIBUTION;
D O I：
10.1016/j.jpaa.2017.04.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let P-m(z) be a sequence of polynomials satisfying the recurrence relation P-m(z) + B(z)Pm-1 (z) A(z)Pm-2 (z) = 0. Tran showed that with a suitable initial condition, the zeros of P-m(z) lie on a fixed explicit curve C on the complex plane. We study a more general initial condition in which we can count the finite number of zeros lying off C. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：534 / 545
页数：12
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