On the zeros of self-reciprocal polynomials satisfying certain coefficient conditions

Seon-Hong Kim; Jung Hee Lee

doi:10.4134/BKMS.2010.47.6.1189

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Bull. Korean Math. Soc. 2010; 47(6): 1189-1194

Printed November 1, 2010

https://doi.org/10.4134/BKMS.2010.47.6.1189

On the zeros of self-reciprocal polynomials satisfying certain coefficient conditions

Seon-Hong Kim and Jung Hee Lee

Sookmyung Women's University, Sookmyung Women's University

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Abstract

Kim and Park investigated the distribution of zeros around the unit circle of real self-reciprocal polynomials of even degrees with five terms, where the absolute value of middle coefficient equals the sum of all other coefficients. In this paper, we extend some of their results to the same kinds of polynomials with arbitrary many nonzero terms.

Keywords: self-reciprocal polynomials, zeros, unit circle

MSC numbers: Primary 30C15; Secondary 26C10