In a recent paper, Ishfaq Dar, worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques. In this paper, we use those newly …
In this paper, the problem of locating the left eigenvalues of the quaternion matrices and their connection with the zeros of the quaternion polynomials with quaternion coefficients is …
GV Milovanović, A Mir - Applicable Analysis and Discrete Mathematics, 2023 - JSTOR
In this manuscript, we are concerned with the problem of locating the zeros of some special quaternionic polynomials and regular functions with restricted coefficients; namely …
GV Milovanović, A Mir - Revista de la Real Academia de Ciencias Exactas …, 2024 - Springer
Using tools from the newly developed theory of regular functions and polynomials with quaternionic coefficients located on only one side of the variable, we derive zero-free …
The main purpose of this paper is to extend various results of Eneström-Kakeya type from the complex to quaternionic setting by virtue of a maximum modulus theorem and the …
L Coroianu - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
Recently, several authors proved a Bernstein type inequality for so called quaternionic unilateral polynomials. Although these polynomials are not generalized complex …
I Qasim - ANNALI DELL'UNIVERSITA'DI FERRARA, 2025 - Springer
In this manuscript, we investigate bounds for the zeros of quaternionic polynomials with restricted coefficients. We find an annular region that contains all the zeros of a quaternionic …
A Mir, A Ahmad - Complex Analysis and Operator Theory, 2024 - Springer
The estimation of zeros of a polynomial with quaternionic coefficients has been done by many mathematicians in the recent past using various approaches. In this paper, we …
The goal of this paper is to find spherical shells that contain all of the zeros of a unilateral polynomial with quaternionic coefficients. These bounds are derived using Geršgorin-type …