[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.13160/ricns.2014.7.2.145

Roots of Difference Quotient Forms of Chebyshev Polynomials

Kim, Seon-Hong (Department of Mathematics, Sookmyung Women's University)

Publication Information

Journal of Integrative Natural Science / v.7, no.2, 2014 , pp. 145-147 More about this Journal

Abstract

Let $T_n(x)$ be the Chebyshev polynomials of first kind of degree n. In this paper, we show that for a > 1, the polynomial with integer coefficients $\frac{T_n(z)-T_n(a)}{z-a}$ has all its roots in $|z|{\leq}a$ .

Keywords

Polynomials; Chebyshev Polynomials; Roots;

Citations & Related Records

Reference

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