Sharif E. Guseynov, Ruslans Aleksejevs, J. Aleksejeva
{"title":"On The Upper Bound Estimates for the Coefficients of Certain Class Bi-Univalent Functions of Complex Order","authors":"Sharif E. Guseynov, Ruslans Aleksejevs, J. Aleksejeva","doi":"10.32861/AJAMS.57.101.113","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions of complex order in the unit disk in complex plane. We obtain upper bound estimates for the initial three coefficients of the functions belonging to this class. In this study, the Fekete-Szegö problem for this function class is also investigated.","PeriodicalId":375032,"journal":{"name":"Academic Journal of Applied Mathematical Sciences","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Academic Journal of Applied Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32861/AJAMS.57.101.113","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions of complex order in the unit disk in complex plane. We obtain upper bound estimates for the initial three coefficients of the functions belonging to this class. In this study, the Fekete-Szegö problem for this function class is also investigated.