Quaternionic Generalization of the Enestr\"{o}m-Kakeya Theorem
Complex Variables
2025-03-12 v1
Abstract
{In 2020, Carney et.al. proved the quaternionic version of the Enestr\"{o}m-Kakeya Theorem, which states that a polynomial with non-negative and monotonically increasing coefficients has all of its zeros within the unit ball . Numerous generalizations of Enestr\"{o}m-Kakeya Theorem are available in the literatures (\cite{m}-\cite{mmr}). In this paper, we extend some of these generalizations to the quaternionic context and present several potential results.}
Keywords
Cite
@article{arxiv.2503.08618,
title = {Quaternionic Generalization of the Enestr\"{o}m-Kakeya Theorem},
author = {D. Tripathi},
journal= {arXiv preprint arXiv:2503.08618},
year = {2025}
}
Comments
10 pages