{"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":50718,"journal":{"name":"Bulletin of the Malaysian Mathematical Sciences Society","volume":"29 1","pages":""},"PeriodicalIF":1.0000,"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\":50718,\"journal\":{\"name\":\"Bulletin of the Malaysian Mathematical Sciences Society\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Malaysian Mathematical Sciences Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s40840-024-01677-5\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Malaysian Mathematical Sciences Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40840-024-01677-5","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","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：
This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.
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