{"title":"一类全态映射的 Fekete 和 Szegö 不等式","authors":"Qinghua Xu","doi":"10.1007/s40840-024-01677-5","DOIUrl":null,"url":null,"abstract":"<p>In this paper, making use of the coefficient inequality for subordinate functions on the unit disc <span>\\(\\mathbb {U}\\)</span> in <span>\\(\\mathbb {C}\\)</span>, we establish some refinements of the Fekete and Szegö inequalities for a class of holomorphic mappings related to spirallike mappings on bounded starlike circular domains in <span>\\(\\mathbb {C}^n\\)</span>. The results presented here would generalize some known results.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fekete and Szegö Inequalities for a Class of Holomorphic Mappings\",\"authors\":\"Qinghua Xu\",\"doi\":\"10.1007/s40840-024-01677-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, making use of the coefficient inequality for subordinate functions on the unit disc <span>\\\\(\\\\mathbb {U}\\\\)</span> in <span>\\\\(\\\\mathbb {C}\\\\)</span>, we establish some refinements of the Fekete and Szegö inequalities for a class of holomorphic mappings related to spirallike mappings on bounded starlike circular domains in <span>\\\\(\\\\mathbb {C}^n\\\\)</span>. The results presented here would generalize some known results.</p>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s40840-024-01677-5\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40840-024-01677-5","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Fekete and Szegö Inequalities for a Class of Holomorphic Mappings
In this paper, making use of the coefficient inequality for subordinate functions on the unit disc \(\mathbb {U}\) in \(\mathbb {C}\), we establish some refinements of the Fekete and Szegö inequalities for a class of holomorphic mappings related to spirallike mappings on bounded starlike circular domains in \(\mathbb {C}^n\). The results presented here would generalize some known results.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.