This research extends the quaternionic version of the Eneström-Kakeya Theorem with new results, suggesting effective polynomial behavior within the unit ball.
{In 2020, Carney et.al. proved the quaternionic version of the Enestr\"{o}m-Kakeya Theorem, which states that a polynomial p(q)=∑ν=0ⁿ q^ν a_ν with non-negative and monotonically increasing coefficients (0<a₀≤ a₁≤ ⋯ ≤ aₙ) has all of its zeros within the unit ball |q|≤ 1. Numerous generalizations of Enestr\"{o}m-Kakeya Theorem are available in the literatures ({m}-{mmr}). In this paper, we extend some of these generalizations to the quaternionic context and present several potential results.}
No takes yet. Share an insight, caveat, or question.
D. Tripathi (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: