{"title":"论复巴拿赫空间中某些类全态映射的系数不等式","authors":"Qinghua Xu, Xiaohua Yang, Taishun Liu","doi":"10.2140/pjm.2024.329.183","DOIUrl":null,"url":null,"abstract":"Let C be the familiar class of normalized close-to-convex functions in the unit disk. Koepf (1987) proved that for a function f ( z ) = z + (cid:80) ∞ k = 2 a k z k in the class C , |","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the coefficient inequalities for some classes of holomorphic mappings in complex Banach spaces\",\"authors\":\"Qinghua Xu, Xiaohua Yang, Taishun Liu\",\"doi\":\"10.2140/pjm.2024.329.183\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let C be the familiar class of normalized close-to-convex functions in the unit disk. Koepf (1987) proved that for a function f ( z ) = z + (cid:80) ∞ k = 2 a k z k in the class C , |\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-06-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2140/pjm.2024.329.183\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2140/pjm.2024.329.183","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
假设 C 是我们熟悉的单位圆盘中的归一化近凸函数类。科普夫(1987)证明,对于类 C 中的函数 f ( z ) = z + (cid:80) ∞ k = 2 a k z k , |
On the coefficient inequalities for some classes of holomorphic mappings in complex Banach spaces
Let C be the familiar class of normalized close-to-convex functions in the unit disk. Koepf (1987) proved that for a function f ( z ) = z + (cid:80) ∞ k = 2 a k z k in the class C , |