On the zero bounds of polynomials and regular functions of a quaternionic variable

DOI10.2298/aadm220905033mzbMath1524.30152OpenAlexW4297127329MaRDI QIDQ6169413

Abdullah Mir, Gradimir V. Milovanović

Publication date: 11 July 2023

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm220905033m

zbMATH Keywords

quaternionsEneström-Kakeya theoremslice regular functionsquaternionic polynomialszero-sets of a regular function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Approximation in the complex plane (30E10) Finite-dimensional division rings (16K20)

Cites Work

• 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
• Extremal problems and inequalities of Markov-Bernstein type for algebraic polynomials
• A note on Eneström-Kakeya theorem for a polynomial with quaternionic variable
• 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
• On the Location of Zeros of Polynomials
• Equations in Quaternions
• The Roots of a Quaternion
• On the Eneström-Kakeya theorem
• Zeros of quaternion polynomials
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