{"title":"关于圆盘中多项式的零点个数","authors":"N. A. Rather, Liyaqat Ali, Aijaz Bhat","doi":"10.1007/s11565-023-00465-6","DOIUrl":null,"url":null,"abstract":"<div><p>The prime concern of this paper is to obtain bounds concerning the number of zeros of polynomials in a specific region. In this paper, we use a new technique which overcome the short-comings of previous known results and hence our results are applicable to a large class of polynomials. Our results also improve and generalize several well-known results concerning the location of zeros of polynomials in certain regions.\n</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 1","pages":"181 - 191"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the number of zeros of a polynomial in a disk\",\"authors\":\"N. A. Rather, Liyaqat Ali, Aijaz Bhat\",\"doi\":\"10.1007/s11565-023-00465-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The prime concern of this paper is to obtain bounds concerning the number of zeros of polynomials in a specific region. In this paper, we use a new technique which overcome the short-comings of previous known results and hence our results are applicable to a large class of polynomials. Our results also improve and generalize several well-known results concerning the location of zeros of polynomials in certain regions.\\n</p></div>\",\"PeriodicalId\":35009,\"journal\":{\"name\":\"Annali dell''Universita di Ferrara\",\"volume\":\"70 1\",\"pages\":\"181 - 191\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-05\",\"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/s11565-023-00465-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-023-00465-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
The prime concern of this paper is to obtain bounds concerning the number of zeros of polynomials in a specific region. In this paper, we use a new technique which overcome the short-comings of previous known results and hence our results are applicable to a large class of polynomials. Our results also improve and generalize several well-known results concerning the location of zeros of polynomials in certain regions.
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.