A new bound for the zeros of quaternionic polynomial
Abstract
This paper investigates the position of zeros of quaternionic polynomials. Recently, it was demonstrated that a quaternionic polynomial with real and positive coefficients obeying monotonicity contains all of its zeros in a four-dimensional closed unit ball. In this work, we identify new regions for the zeros of lacunary-type quaternionic polynomials and establish closed balls, centered at one, that encompass all the zeros of such polynomials.
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References
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