On the zeros of certain self-reciprocal polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:339

Article

Kim, Seon-Hong¹  Park, Chang Woo² 

[1] Sookmyung Womens Univ, Dept Math, Seoul 140742, South Korea

[2] Chosun Univ, Dept Math, Kwangju 501759, South Korea

关键词: self-reciprocal polynomials zeros;    unit circle;   

DOI  :  10.1016/j.jmaa.2007.06.055

来源: Elsevier

【 摘 要 】

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 Enestrom-Kakeya types of results as by-products of this investigation. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free