Vieta's Formulas for Quaternionic Polynomials

2025/01/04 by Shpakivskyi, Vitalii
#Complex Variables (math.CV) #FOS: Mathematics #Primary 30G35 #Secondary 11R52

paper · doi:10.48550/arxiv.2501.02261

Abstract

The paper presents analogues of some Vieta formulas for quaternionic polynomials of the form R_n(w)=∑_m=0ⁿA_mx^m. A criterion for the sphericity of the root (zero) of a polynomial R_n(w) is established.

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