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

A Mir - Revista de la Real Academia de Ciencias Exactas …, 2024 - Springer
The aim of this work is to consider bounds for the zeros of quaternionic polynomials and
regular functions with coefficients located on only one side of the quaternionic variable. We …

Computation of the zeros of a quaternionic polynomial using matrix methods

NA Rather, T Bhat, I Dar, B Khan… - Arab Journal of Basic and …, 2024 - Taylor & Francis
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 …

[PDF][PDF] Bounds on the zeros of a quaternionic polynomial using matrix methods

I Dara, NA Ratherb, I Faiqc - Filomat, 2024 - pmf.ni.ac.rs
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 …

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

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 …

On zeros of the regular power series of a quaternionic variable

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 …

[PDF][PDF] On the Eneström-Kakeya theorem for quaternionic polynomial

A Hussain - Filomat, 2023 - doiserbia.nb.rs
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 …

Bernstein inequalities for quaternionic polynomials in the setting of generalized polynomials

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 …

Location of zeros of quaternionic polynomials

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 …

Estimation of Bounds for the Zeros of Polynomials and Regular Functions of a Quaternionic Variable

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 …

On spherical shells containing all the zeros of a quaternionic polynomial

GV Milovanović, A Mir, WA Thoker, AH Bhat - Analysis, 2025 - degruyter.com
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 …