A unifying framework for generalizations of the Eneström-Kakeya theorem

DOI10.4171/EM/398zbMath1442.30007arXiv1711.09517OpenAlexW2999838858MaRDI QIDQ2191634

Aaron Melman

Publication date: 25 June 2020

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09517

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Cites Work

• Geometric aspects of Pellet's and related theorems
• On the Eneström-Kakeya theorem and its sharpness
• On the zeros of a certain class of polynomials and related analytic functions
• An Extension of the Eneström-Kakeya Theorem and Its Sharpness
• Improved Cauchy radius for scalar and matrix polynomials
• The Twin of a Theorem by Cauchy
• Eneström–Kakeya Theorem and Some of Its Generalizations
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