{"title":"Location of zeros of quaternionic polynomials","authors":"Idrees Qasim","doi":"10.1007/s11565-024-00568-8","DOIUrl":null,"url":null,"abstract":"<div><p>In this manuscript, we investigate bounds for the zeros of quaternionic polynomials with restricted coefficients. We find an annular region that contains all the zeros of a quaternionic polynomial. Moreover, we find zero-free regions thereby obtain improvement of Eneström-Kakeya theorem for quaternionic polynomials.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"71 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-024-00568-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this manuscript, we investigate bounds for the zeros of quaternionic polynomials with restricted coefficients. We find an annular region that contains all the zeros of a quaternionic polynomial. Moreover, we find zero-free regions thereby obtain improvement of Eneström-Kakeya theorem for quaternionic polynomials.
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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