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On the zeros of certain self-reciprocal polynomials
Authors:Seon-Hong Kim  Chang Woo Park
Affiliation:a Department of Mathematics, Sookmyung Women's University, Seoul 140-742, Republic of Korea
b Department of Mathematics, Chosun University, Gwangju 501-759, Republic of Korea
Abstract:We investigate the distribution of zeros around the unit circle of real self-reciprocal polynomials of even degrees with five terms whose absolute values of middle coefficients equal the sum of all other coefficients. Furthermore, it also give a new inequality and other Eneström-Kakeya types of results as by-products of this investigation.
Keywords:Self-reciprocal polynomials   Zeros   Unit circle
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