Bounds for the zeros of quaternionic polynomials

In this paper, we introduce specific outcomes that define regions encompassing all the zeros of a quaternionic polynomial. These results extend the established findings of Carney et al. [J. Appl. Theory, 250 (2020), Article 105325] and represent generalizations of Eneström–Kakeya-type results in the context of quaternionic analogs. The extensions we offer are meaningful because they alleviate and reduce the assumptions made by other findings, making them applicable to a variety of quaternionic polynomials.