Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.08618 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- {In 2020, Carney et.al. proved the quaternionic version of the Eneström-Kakeya Theorem, which states that a polynomial $p(q)=\sum_{ν=0}^n q^νa_ν$ with non-negative and monotonically increasing coefficients $(0<a_0\le a_1\le \cdots \le a_n)$ has all of its zeros within the unit ball $|q|\le 1$. Numerous generalizations of Eneström-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.}