On the location of zeros of a quaternion polynomial

N. A. Rather; Tanveer Bhat

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arXiv · 2502.16295

On the location of zeros of a quaternion polynomial

N. A. Rather·Tanveer Bhat

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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.

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N. A. Rather, Tanveer Bhat. 2025-02-22. On the location of zeros of a quaternion polynomial. https://arxiv.org/abs/2502.16295

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