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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2501.02261 |
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| _version_ | 1866908332731662336 |
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| author | Shpakivskyi, Vitalii |
| author_facet | Shpakivskyi, Vitalii |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_02261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vieta's Formulas for Quaternionic Polynomials Shpakivskyi, Vitalii Complex Variables Primary 30G35, Secondary 11R52 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. |
| title | Vieta's Formulas for Quaternionic Polynomials |
| topic | Complex Variables Primary 30G35, Secondary 11R52 |
| url | https://arxiv.org/abs/2501.02261 |