English

Vieta's Formulas for Quaternionic Polynomials

Complex Variables 2025-04-24 v2

Abstract

The paper presents analogues of some Vieta formulas for quaternionic polynomials of the form Rn(w)=m=0nAmxmR_n(w)=\sum\limits_{m=0}^{n}A_mx^m. A criterion for the sphericity of the root (zero) of a polynomial Rn(w)R_n(w) is established.

Keywords

Cite

@article{arxiv.2501.02261,
  title  = {Vieta's Formulas for Quaternionic Polynomials},
  author = {Vitalii Shpakivskyi},
  journal= {arXiv preprint arXiv:2501.02261},
  year   = {2025}
}
R2 v1 2026-06-28T20:56:09.344Z