• ZERO-FREE REGION FOR POLYNOMIALS WITH RESTRICTED REAL COEFFICIENTS

Abstract

In this paper we prove some extension of the Eneström-Kakeya theorem says that. Let P(z)= be a polynomial of degree nsuch that then all the zeros of P(z) lie in |z|1. By relaxing the hypothesis of this result in several ways and obtain zero-free regions for polynomials with restricted coefficients and there by present some interesting generalizations and extensions of the Enestrom-Kakeya Theorem.