On the location of zeros of a quaternion polynomial
Complex Variables
2025-02-25 v1
Abstract
In this paper, we are concerned with the problem of locating the zeros of polynomials of a quaternionic variable with quaternionic coefficients. We derive some new Cauchy bounds for the zeros of a polynomial by virtue of maximum modulus theorem. Our results will generalise some recently proved results about the distribution of zeros of a quaternionic polynomial.
Cite
@article{arxiv.2502.16295,
title = {On the location of zeros of a quaternion polynomial},
author = {N. A. Rather and Tanveer Bhat},
journal= {arXiv preprint arXiv:2502.16295},
year = {2025}
}
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