Generalization of an Eneström-Kakeya type theorem to the quaternions
| Autor: | Robert B. Gardner, Mariah Taylor |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Armenian Journal of Mathematics. 14:1-8 |
| ISSN: | 1829-1163 |
| DOI: | 10.52737/18291163-2022.14.9-1-8 |
| Popis: | The well-known Eneström-Kakeya theorem states that polynomial $p(z)=\sum_{\nu =0}^n a_\nu z^\nu$, where $0\leq a_0\leq a_1\leq \cdots\leq a_n$, has all of its (complex) zeros in $|z|\leq 1$. Many generalizations of this result exist in the literature. In this paper, we extend one such result to the quaternionic setting and state one of the possible corollaries. |
| Databáze: | OpenAIRE |
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