• SOME GENERALIZATION OF ENESTROM KAKEYA THEOREM

Abstract

In this paper we obtain some extensions and generalizations of  a well known theorem due to Enestrom and Kakeya. We obtain all the zeros of polynomial P(z)= satisfying certain restrictions on  real as well as imaginary coefficients of complex number a_j =(α_j, β_j) lying within the disk ≤ | z-z_λμ| ≤ R_{λμ ,} z_λμ (an arbitrary point) is the centre of the disk in the complex plane.