{"title":"Localization of zeros of polar polynomials on the unit disc","authors":"Roberto S. Costas-Santos, Abdelhamid Rehouma","doi":"arxiv-2409.00156","DOIUrl":null,"url":null,"abstract":"We derive a useful result about the zeros of the $k$-polar polynomials on the\nunit circle; in particular we obtain a ring shaped region containing all the\nzeros of these polynomials. Some examples are presented.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"72 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00156","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We derive a useful result about the zeros of the $k$-polar polynomials on the
unit circle; in particular we obtain a ring shaped region containing all the
zeros of these polynomials. Some examples are presented.
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