A MODIFIED POLYNOMIAL SEQUENCE OF THE CHEBYSHEV POLYNOMIALS OF THE SECOND KIND

被引：0

作者：

Kim, Seon-Hong ^{[1
]}

机构：

[1] Sookmyung Womens Univ, Dept Math, Seoul 04310, South Korea

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 34卷 / 02期

关键词：

Chebyshev polynomials of the second kind; recurrence relations; Zeros;

D O I：

10.4134/CKMS.c170355

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dilcher and Stolarsky [1] recently studied a sequence resembling the Chebyshev polynomials of the first kind. In this paper, we follow their some research directions to the Chebyshev polynomials of the second kind. More specifically, we consider a sequence resembling the Chebyshev polynomials of the second kind in two different ways, and investigate its properties including relations between this sequence and the sequence studied in [1], zero distribution and the irreducibility.

引用

页码：429 / 437

页数：9

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