{"title":"单位圆盘上极坐标多项式零点的定位","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":"{\"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}","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}
Localization of zeros of polar polynomials on the unit disc
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
