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Roots of Difference Quotient Forms of Chebyshev Polynomials

Authors
김선홍
Issue Date
Jun-2014
Publisher
기초과학연구원
Keywords
Polynomials; Chebyshev Polynomials; Roots
Citation
조선자연과학논문집, v.7, no.2, pp 145 - 147
Pages
3
Journal Title
조선자연과학논문집
Volume
7
Number
2
Start Page
145
End Page
147
URI
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/5924
DOI
10.13160/ricns.2014.7.2.145
ISSN
2005-1042
Abstract
Let Tn(x) be the Chebyshev polynomials of first kind of degree n. In this paper, we show that for a>1, the polynomial withinteger coefficients Tn(z) - Tn(a)/ z-a has all its roots in lzl<-a.
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