N. A. Rather and S. Gulzar Received: October 8, 2013; Accepted: January 17, 2014 Abstract. In this paper, we obtain some refinements of a well-known result of Eneström-Kakeya concerning the bounds for the moduli of the zeros of polynomials with complex coefficients which among other things also improve upon some known results in this direction. Keywords: Polynomials; zeros; Eneström Kakeya theorem. AMS Subject classification: Primary: 30C10, 26C10, 30C15 Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |