Geodesic
On the Eneström-Kakeya theorem for quaternionic polynomial
Filomat, Tome 37 (2023) no. 15, p. 4981

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DOI

The main purpose of this paper is to extend various results of Eneström-Kakeya type from the complex to quaternionic setting by virtue of a maximum modulus theorem and the structure of the zero sets in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our findings generalise several newly proven conclusions concerning the distribution of zeros of a quaternionic polynomial.
DOI : 10.2298/FIL2315981H
Classification : 30E10, 30G35, 16K20
Keywords: Quaternionic polynomial, Eneström-Kakeya theorem, Zeros 
Adil Hussain. On the Eneström-Kakeya theorem for quaternionic polynomial. Filomat, Tome 37 (2023) no. 15, p. 4981 . doi: 10.2298/FIL2315981H
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     author = {Adil Hussain},
     title = {On the {Enestr\"om-Kakeya} theorem for quaternionic polynomial},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {15},
     doi = {10.2298/FIL2315981H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2315981H/}
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