A refinement of Cauchys theorem on the zeros of quaternion polynomial
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917925192990720 |
|---|---|
| author | Rather, Nisar Ahmad Bhat, Danish Rashid Bhat, Tanveer |
| author_facet | Rather, Nisar Ahmad Bhat, Danish Rashid Bhat, Tanveer |
| contents | In this paper, we shall present an interesting and significant refinement of a classical result of Cauchy about the moduli of the zeros of a quaternionic polynomial. As an application of this result we shall obtain zero-free regions of polynomials having quaternionic coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_11474 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A refinement of Cauchys theorem on the zeros of quaternion polynomial Rather, Nisar Ahmad Bhat, Danish Rashid Bhat, Tanveer Complex Variables Gm F.2 In this paper, we shall present an interesting and significant refinement of a classical result of Cauchy about the moduli of the zeros of a quaternionic polynomial. As an application of this result we shall obtain zero-free regions of polynomials having quaternionic coefficients. |
| title | A refinement of Cauchys theorem on the zeros of quaternion polynomial |
| topic | Complex Variables Gm F.2 |
| url | https://arxiv.org/abs/2502.11474 |