On the Eneström–Kakeya theorem for quaternionic polynomials
In this paper, we present certain results concerning the distribution of zeros of polynomials of a quaternionic variable and with quaternionic coefficients. We obtain ring shaped regions of Eneström–Kakeya type for the zeros of these polynomials and also extend some classical results from the comple...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-09-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.467/ |
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| _version_ | 1825206238026137600 |
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| author | Mir, Abdullah Ahmad, Abrar |
| author_facet | Mir, Abdullah Ahmad, Abrar |
| author_sort | Mir, Abdullah |
| collection | DOAJ |
| description | In this paper, we present certain results concerning the distribution of zeros of polynomials of a quaternionic variable and with quaternionic coefficients. We obtain ring shaped regions of Eneström–Kakeya type for the zeros of these polynomials and also extend some classical results from the complex to quaternionic setting. |
| format | Article |
| id | doaj-art-7474c0e10b3d4e098a25f1eeef933274 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-7474c0e10b3d4e098a25f1eeef9332742025-02-07T11:09:17ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-09-01361G61051106210.5802/crmath.46710.5802/crmath.467On the Eneström–Kakeya theorem for quaternionic polynomialsMir, Abdullah0Ahmad, Abrar1Department of Mathematics, University of Kashmir, Srinagar, 190006, IndiaDepartment of Mathematics, University of Kashmir, Srinagar, 190006, IndiaIn this paper, we present certain results concerning the distribution of zeros of polynomials of a quaternionic variable and with quaternionic coefficients. We obtain ring shaped regions of Eneström–Kakeya type for the zeros of these polynomials and also extend some classical results from the complex to quaternionic setting.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.467/ |
| spellingShingle | Mir, Abdullah Ahmad, Abrar On the Eneström–Kakeya theorem for quaternionic polynomials Comptes Rendus. Mathématique |
| title | On the Eneström–Kakeya theorem for quaternionic polynomials |
| title_full | On the Eneström–Kakeya theorem for quaternionic polynomials |
| title_fullStr | On the Eneström–Kakeya theorem for quaternionic polynomials |
| title_full_unstemmed | On the Eneström–Kakeya theorem for quaternionic polynomials |
| title_short | On the Eneström–Kakeya theorem for quaternionic polynomials |
| title_sort | on the enestrom kakeya theorem for quaternionic polynomials |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.467/ |
| work_keys_str_mv | AT mirabdullah ontheenestromkakeyatheoremforquaternionicpolynomials AT ahmadabrar ontheenestromkakeyatheoremforquaternionicpolynomials |