TY - JOUR
TI - Generalization of an EnestrĂ¶m-Kakeya type theorem to the quaternions
PY - 2022/06/29
Y2 - 2024/10/06
JF - Armenian Journal of Mathematics
JA - Armen.J.Math.
VL - 14
IS - 9
SE - Articles
DO - 10.52737/18291163-2022.14.9-1-8
UR - https://doi.org/10.52737/18291163-2022.14.9-1-8
SP - 1-8
AB - The well-known EnestrĂ¶m-Kakeya theorem states that polynomial $p(z)=\sum_{
u =0}^n a_
u z^
u$, 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.
ER -