A note on Eneström–Kakeya theorem for a polynomial with quaternionic variable

Abstract In this paper, we present certain results concerning the location of the zeros of polynomials with quaternionic variable which generalize and refine some known Eneström–Kakeya type bounds for the zeros of polynomials.

Bibliographic Details
Main Author: Dinesh Tripathi
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Arabian Journal of Mathematics
Subjects:
Online Access:https://doi.org/10.1007/s40065-020-00283-0
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author Dinesh Tripathi
author_facet Dinesh Tripathi
author_sort Dinesh Tripathi
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description Abstract In this paper, we present certain results concerning the location of the zeros of polynomials with quaternionic variable which generalize and refine some known Eneström–Kakeya type bounds for the zeros of polynomials.
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spelling doaj.art-19c626c5db0d4922a90eb788eda5d1f12022-12-21T22:45:16ZengSpringerOpenArabian Journal of Mathematics2193-53432193-53512020-05-019370771410.1007/s40065-020-00283-0A note on Eneström–Kakeya theorem for a polynomial with quaternionic variableDinesh Tripathi0Department of Mathematics, Faculty of Applied Science, Manav Rachna UniversityAbstract In this paper, we present certain results concerning the location of the zeros of polynomials with quaternionic variable which generalize and refine some known Eneström–Kakeya type bounds for the zeros of polynomials.https://doi.org/10.1007/s40065-020-00283-030E1030A0130C01
spellingShingle Dinesh Tripathi
A note on Eneström–Kakeya theorem for a polynomial with quaternionic variable
Arabian Journal of Mathematics
30E10
30A01
30C01
title A note on Eneström–Kakeya theorem for a polynomial with quaternionic variable
title_full A note on Eneström–Kakeya theorem for a polynomial with quaternionic variable
title_fullStr A note on Eneström–Kakeya theorem for a polynomial with quaternionic variable
title_full_unstemmed A note on Eneström–Kakeya theorem for a polynomial with quaternionic variable
title_short A note on Eneström–Kakeya theorem for a polynomial with quaternionic variable
title_sort note on enestrom kakeya theorem for a polynomial with quaternionic variable
topic 30E10
30A01
30C01
url https://doi.org/10.1007/s40065-020-00283-0
work_keys_str_mv AT dineshtripathi anoteonenestromkakeyatheoremforapolynomialwithquaternionicvariable
AT dineshtripathi noteonenestromkakeyatheoremforapolynomialwithquaternionicvariable