Some Generalizations of the Eneström-Kakeya Theorem

2016/09/25 by Eze R. Nwaeze, Nwaeze, Eze R.
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1609.07753

openalex publication_date 2016/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p(z)=a₀+a₁z+a₂z²+a₃z³+⋯+a_nzⁿ be a polynomial of degree n, where the coefficients a_j, j ∈ \0,1,2,⋯ n\, are real numbers. We impose some restriction on the coefficients and then prove some extensions and generalizations of the Eneström-Kakeya Theorem.

Citations

• On the Eneström-Kakeya theorem and its sharpness

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