Armenian Journal of Mathematics, 15(7)
2023; 1–12
Shared with The Gufo

A Note on Location of the Zeros of Quaternionic Polynomials

Irfan Ahmad Wani*, Adil Hussain

Received: 2024-12-03 · Published: 2023-04-27

© 2023 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.
Original title
A Note on Location of the Zeros of Quaternionic Polynomials
Authors
Irfan Ahmad Wani, Adil Hussain
Source journal
Armenian Journal of Mathematics, 15(7)
Published
2023-04-27
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/10.52737/18291163-2023.15.7-1-12

Abstract

The purpose of this paper is to investigate the extensions of the classical Eneström-Kakeya theorem and its various generalizations concerning the distribution of zeros of polynomials from the complex to the quaternionic setting. Using a maximum modulus theorem and the zero set structure in the recently published theory of regular functions and polynomials of a quaternionic variable, we construct new bounds of the Eneström-Kakeya type for the zeros of these polynomials. The obtained results for this subclass of polynomials and slice regular functions give generalizations of a number of results previously reported in the relevant literature.
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates