On the Zeros of Quaternionic Polynomials with Restricted Coefficient

Key Points

• The aim is to extend and refine results related to the zeros of quaternionic polynomials under certain coefficient constraints.
• Analyzed quaternionic polynomials with non-negative coefficients.
• Refined previous work by Carney et al. on zeros of quaternionic polynomials.
• Used mathematical proofs to establish the generalization.
• Demonstrated that the zeros of the general quaternionic polynomials also lie within a specific boundary.
• Provided a stronger understanding of the behavior of these polynomials.
• Clarified the implications for the coefficients structure on the zeros.