On the Zeros of Polynomial With Real Coefficients
Abstract
The Eneström-Kakeya theorem provides essential bounds on the location of the zeros of a polynomial with positive coefficients.Lot of research work has been done regarding the classical theorem known as Eneström-Kakeya theorem concerning the regions containing zeros of a polynomial.This theorem states that if F (z) = n λ=0 f λ z λ is a polynomial with degree n with real coefficients satisfying 0, then all the zeros of F (z) lie in |z| ≤ 1.In this article, we prove several extensions of this theorem which impose restrictions only on the coefficients f 0 , f 1 , . . ., f n-1 and leaves the coefficient f n to vary freely over the whole complex plane.
Fields of Study & Subjects
Mathematical functions and polynomials
Meromorphic and Entire Functions
Iterative Methods for Nonlinear Equations
Publication details
- Journal / source
- Kragujevac Journal of Mathematics
- Publisher
- University Library in Kragujevac
- Volume
- 50
- Issue
- 6
- Pages
- 1001–1001
- Publication date
- 1 July 2026