The Eneström-Kakeya theorem for polynomials of a quaternionic variable

DOI10.1016/J.JAT.2019.105325zbMath1441.30070OpenAlexW2985756986MaRDI QIDQ2286227

Yanyan Li

Publication date: 10 January 2020

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2019.105325

zbMATH Keywords

zeros of polynomialsquaternionsEneström-Kakeya theorem

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items (13)

Generalization of an Eneström-Kakeya type theorem to the quaternions ⋮ A note on a generalisation of Eneström-Kakeya theorem for quaternionic polynomials ⋮ On the zeros of a quaternionic polynomial with restricted coefficients ⋮ Estimation of bounds for the zeros of polynomials and regular functions with quaternionic coefficients ⋮ A Note on Location of the Zeros of Quaternionic Polynomials ⋮ On the zero bounds of polynomials and regular functions of a quaternionic variable ⋮ Unnamed Item ⋮ A note on Eneström-Kakeya theorem for a polynomial with quaternionic variable ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the Eneström-Kakeya theorem for quaternionic polynomials ⋮ On zeros of the regular power series of a quaternionic variable ⋮ On the Eneström-Kakeya theorem for quaternionic polynomials

Cites Work

• Unnamed Item
• On the multiplicity of zeroes of polynomials with quaternionic coefficients
• A new theory of regular functions of a quaternionic variable
• Quaternionic Approximation
• Eneström–Kakeya Theorem and Some of Its Generalizations
• On the Location of Zeros of Polynomials
• The Roots of a Quaternion
• On the Eneström-Kakeya theorem

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