{"title":"Bohr radius for certain classes of analytic functions","authors":"Sarita Agrawal, M. Mohapatra","doi":"10.7153/JCA-2018-12-10","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss Bohr’s inequality for certain classes of analytic functions associated with q -function theory for q ∈ (0,1) . Interestingly, in particular cases when q → 1 , we obtain very fundamental theorems of univalent function theory such as covering and growth theorems for starlike and convex functions. Subsequently, we obtain the Bohr radius for the classes of starlike and convex functions. Mathematics subject classification (2010): 28A25, 30A10, 30B10, 30H05, 39A13.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":"109-118"},"PeriodicalIF":0.0000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/JCA-2018-12-10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
In this paper, we discuss Bohr’s inequality for certain classes of analytic functions associated with q -function theory for q ∈ (0,1) . Interestingly, in particular cases when q → 1 , we obtain very fundamental theorems of univalent function theory such as covering and growth theorems for starlike and convex functions. Subsequently, we obtain the Bohr radius for the classes of starlike and convex functions. Mathematics subject classification (2010): 28A25, 30A10, 30B10, 30H05, 39A13.
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