Bound for the zeros of quaternionic polynomial without restrictions
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Abstract
In this paper, we are concerned with the problem of locating the zeros of regular polynomials of quaternionic variable without any restriction on the coefficients. We derive new bounds for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. With no restriction on the coefficients, our results provide new bound for the zeros of quaternionic polynomials in a four dimensional space.
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References
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