Vieta's Formulas for Quaternionic Polynomials
Abstract
The paper presents analogues of some Vieta formulas for quaternionic polynomials of the form $R_n(w)=\sum\limits_{m=0}^{n}A_mx^m$. A criterion for the sphericity of the root (zero) of a polynomial $R_n(w)$ is established.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2025
- DOI:
- arXiv:
- arXiv:2501.02261
- Bibcode:
- 2025arXiv250102261S
- Keywords:
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- Mathematics - Complex Variables;
- Primary 30G35;
- Secondary 11R52