On the zeros of self-inversive polynomials
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choo, Y. | - |
dc.contributor.author | Kim, Y.-J. | - |
dc.date.accessioned | 2021-11-11T04:42:51Z | - |
dc.date.available | 2021-11-11T04:42:51Z | - |
dc.date.created | 2021-11-10 | - |
dc.date.issued | 2013 | - |
dc.identifier.issn | 1312-8876 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/17221 | - |
dc.description.abstract | A classical result due to Cohn states that a self-inversive polynomial has all its zeros on the unit circle if and only if all the zeros of its derivative lie in the closed unit disk. A more flexible necessary and sufficient condition than that of Cohns was given by Chen. However those results do not give any information on the simplicity of zeros of a self-inversive polynomial. This paper modifies the above results so that they serve as necessary and sufficient conditions for the simplicity as well as the unimodularity of zeros of a self-inversive polynomial. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | Hikari Ltd. | - |
dc.title | On the zeros of self-inversive polynomials | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Choo, Y. | - |
dc.contributor.affiliatedAuthor | Kim, Y.-J. | - |
dc.identifier.doi | 10.12988/ijma.2013.13016 | - |
dc.identifier.scopusid | 2-s2.0-84874784671 | - |
dc.identifier.bibliographicCitation | International Journal of Mathematical Analysis, v.7, no.1-4, pp.187 - 193 | - |
dc.relation.isPartOf | International Journal of Mathematical Analysis | - |
dc.citation.title | International Journal of Mathematical Analysis | - |
dc.citation.volume | 7 | - |
dc.citation.number | 1-4 | - |
dc.citation.startPage | 187 | - |
dc.citation.endPage | 193 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Self-inversive polynomials | - |
dc.subject.keywordAuthor | Zeros | - |
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