Geodesic
On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 649-662.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We present some results on the location of zeros of regular polynomials of a quaternionic variable. We derive new bounds of Eneström-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets of a regular product established in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our results extend some classical results from complex to the quaternionic setting as well.
DOI : 10.21136/CMJ.2023.0097-22
Classification : 16K20, 30E10, 30G35
Keywords: quaternionic polynomial; Eneström-Kakeya theorem; zero-sets of a regular product 
@article{10_21136_CMJ_2023_0097_22,
     author = {Mir, Abdullah},
     title = {On the zeros of a quaternionic polynomial: {An} extension of the {Enestr\"om-Kakeya} theorem},
     journal = {Czechoslovak Mathematical Journal},
     pages = {649--662},
     publisher = {mathdoc},
     volume = {73},
     number = {3},
     year = {2023},
     doi = {10.21136/CMJ.2023.0097-22},
     mrnumber = {4632850},
     zbl = {07729530},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0097-22/}
}
TY  - JOUR
AU  - Mir, Abdullah
TI  - On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem
JO  - Czechoslovak Mathematical Journal
PY  - 2023
SP  - 649
EP  - 662
VL  - 73
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0097-22/
DO  - 10.21136/CMJ.2023.0097-22
LA  - en
ID  - 10_21136_CMJ_2023_0097_22
ER  - 
%0 Journal Article
%A Mir, Abdullah
%T On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem
%J Czechoslovak Mathematical Journal
%D 2023
%P 649-662
%V 73
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0097-22/
%R 10.21136/CMJ.2023.0097-22
%G en
%F 10_21136_CMJ_2023_0097_22
Mir, Abdullah. On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 3, pp. 649-662. doi : 10.21136/CMJ.2023.0097-22. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0097-22/

Cité par Sources :