Original Article
Kyungpook Mathematical Journal 2015; 55(4): 807-816
Published online December 23, 2015
Copyright © Kyungpook Mathematical Journal.
On Zeros of Polynomials with Restricted Coefficients
Tawheeda Rasool,1 Irshad Ahmad2 ,Ab Liman3
1,2,3Department of Mathematics, National Institute of Technology Srinagar-190006, India
Let $P(z)=sumlimits_{j=0}^{n}a_j z^{j}$ be a polynomial of degree $n$ and $Re~a_{j}=alpha_{j},~ Im ~a_{j}=eta_{j}.$ In this paper, we have obtained a zero- free region for polynomials in terms of $alpha_j$ and $eta_j$ and also obtain the bound for number of zeros that can lie in a prescribed region.
Keywords: Ploynomials, Zeros, Enestrom-Kakeya theroem