Comptes Rendus
Analyse et géométrie complexes
On the Eneström–Kakeya theorem for quaternionic polynomials
Abdullah Mir1  ; Abrar Ahmad1
1 Department of Mathematics, University of Kashmir, Srinagar, 190006, India
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1051-1062.

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.

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DOI : 10.5802/crmath.467
Classification : 30E10, 30G35, 16K20
Abdullah Mir 1 ; Abrar Ahmad 1

1 Department of Mathematics, University of Kashmir, Srinagar, 190006, India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {On the {Enestr\"om{\textendash}Kakeya} theorem for quaternionic polynomials},
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     publisher = {Acad\'emie des sciences, Paris},
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     year = {2023},
     doi = {10.5802/crmath.467},
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Abdullah Mir; Abrar Ahmad. On the Eneström–Kakeya theorem for quaternionic polynomials. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 1051-1062. doi : 10.5802/crmath.467. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.467/

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