Estimation of bounds for the zeros of polynomials and regular functions with quaternionic coefficients

DOI10.1007/s13398-023-01501-yzbMath1526.30064OpenAlexW4386741221MaRDI QIDQ6085345

Abdullah Mir

Publication date: 8 November 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-023-01501-y

zbMATH Keywords

zerosEneström-Kakeya theoremquaternionic polynomialsquaternionic regular functions

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)

Cites Work

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• Zeros of regular functions and polynomials of a quaternionic variable
• On the multiplicity of zeroes of polynomials with quaternionic coefficients
• On the zeros of a certain class of polynomials and related analytic functions
• A note on Eneström-Kakeya theorem for a polynomial with quaternionic variable
• On the inequalities of Turán, Bernstein and Erdős-Lax in quaternionic setting
• On Bernstein and Erdős-Lax's inequalities for quaternionic polynomials
• The Eneström-Kakeya theorem for polynomials of a quaternionic variable
• A new theory of regular functions of a quaternionic variable
• On the zeros of a quaternionic polynomial with restricted coefficients
• Quaternionic analysis
• Generalization of an Eneström-Kakeya type theorem to the quaternions
• On the Location of Zeros of Polynomials
• Equations in Quaternions
• The Roots of a Quaternion
• Zeros of quaternion polynomials

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