Zero-Free Region for Polynomials with Restricted Coefficients
Journal Title: International Journal of Science and Research (IJSR) - Year 2015, Vol 4, Issue 4
Abstract
In this paper we prove some extension of the Eneström-Kakeya theorem says that. Let P(z)= -_(i=0)^n-〖a_i z^i 〗 be a polynomial of degree n such that 0<a_(0 )-a_1- a_2-,-,-a_n 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
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