Some Generalizations of the Eneström-Kakeya Theorem

Eze R. Nwaeze

paper

Some Generalizations of the Eneström-Kakeya Theorem

arXiv:1609.07753

Abstract

Let $p (z) = a_{0} + a_{1} z + a_{2} z^{2} + a_{3} z^{3} + \dots + a_{n} z^{n}$ be a polynomial of degree $n,$ where the coefficients $a_{j},$ $j \in {0, 1, 2, \dots n},$ are real numbers. We impose some restriction on the coefficients and then prove some extensions and generalizations of the Eneström-Kakeya Theorem.

This is a preprint of a paper whose final and definite form is published open access in the Acta et Commentationes Universitatis Tartuensis de Mathematica (ACUTM)