{"title":"On a generalized class of bi-univalent functions defined by subordination and \\(q\\)-derivative operator","authors":"A. Lasode, T. Opoola","doi":"10.30538/psrp-oma2021.0092","DOIUrl":null,"url":null,"abstract":"In this paper, the \\(q\\)-derivative operator and the principle of subordination were employed to define a subclass \\(\\mathcal{B}_q(\\tau,\\lambda,\\phi)\\) of analytic and bi-univalent functions in the open unit disk \\(\\mathcal{U}\\). For functions \\(f(z)\\in\\mathcal{B}_q(\\tau,\\lambda,\\phi)\\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/psrp-oma2021.0092","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, the \(q\)-derivative operator and the principle of subordination were employed to define a subclass \(\mathcal{B}_q(\tau,\lambda,\phi)\) of analytic and bi-univalent functions in the open unit disk \(\mathcal{U}\). For functions \(f(z)\in\mathcal{B}_q(\tau,\lambda,\phi)\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.