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arXiv · 2502.11474

A refinement of Cauchys theorem on the zeros of quaternion polynomial

Nisar Ahmad Rather·Danish Rashid Bhat·Tanveer Bhat
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Abstract

In this paper, we shall present an interesting and significant refinement of a classical result of Cauchy about the moduli of the zeros of a quaternionic polynomial. As an application of this result we shall obtain zero-free regions of polynomials having quaternionic coefficients.

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Nisar Ahmad Rather, Danish Rashid Bhat, Tanveer Bhat. 2025-02-17. A refinement of Cauchys theorem on the zeros of quaternion polynomial. https://arxiv.org/abs/2502.11474

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