Geodesic
Analyse et géométrie complexes
On the Eneström–Kakeya theorem for quaternionic polynomials
Mir, Abdullah1  ; Ahmad, Abrar1
1 Department of Mathematics, University of Kashmir, Srinagar, 190006, India
Comptes Rendus. Mathématique, Tome 361 (2023) no. G6, pp. 1051-1062

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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

Mir, Abdullah 1 ; Ahmad, Abrar 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},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1051--1062},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     number = {G6},
     year = {2023},
     doi = {10.5802/crmath.467},
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     url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.467/}
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Mir, Abdullah; Ahmad, Abrar. On the Eneström–Kakeya theorem for quaternionic polynomials. Comptes Rendus. Mathématique, Tome 361 (2023) no. G6, pp. 1051-1062. doi: 10.5802/crmath.467

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