{"title":"Hankel determinant for m-fold symmetric bi-univalent functions","authors":"Ş. Altınkaya, S. Yalçın","doi":"10.37193/cmi.2019.01.01","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a general subclass H_{\\Sigma _{m}}(\\beta ) of \\Sigma _{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc \\mathcal{U}. An estimate for the second Hankel determinant for m-fold symmetric bi-univalent functions are determined.","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Creative Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37193/cmi.2019.01.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we consider a general subclass H_{\Sigma _{m}}(\beta ) of \Sigma _{m} consisting of analytic and m-fold symmetric bi-univalent functions in the open unit disc \mathcal{U}. An estimate for the second Hankel determinant for m-fold symmetric bi-univalent functions are determined.