Quaternionic Generalization of the Eneström-Kakeya Theorem

2025/03/11 by D. Tripathi, Tripathi, D.
Mathematics · #Algebraic and Geometric Analysis #advanced mathematical theories #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2503.08618

Abstract

In 2020, Carney et.al. proved the quaternionic version of the Eneström-Kakeya Theorem, which states that a polynomial p(q)=∑_ν=0ⁿ q^νa_ν with non-negative and monotonically increasing coefficients (0

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