Vieta's Formulas for Quaternionic Polynomials
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908332731662336 |
|---|---|
| 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 |