{"title":"Certain subclass of bi-univalent functions associated with the Chebyshev polynomials based on q-derivative symmetric q-derivative","authors":"N. Magesh, A. Motamednezhad, S. Salehian","doi":"10.31926/but.mif.2020.13.62.2.18","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg¨o inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalcın.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":"73 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2020.13.62.2.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we introduce new subclass Beq σB (λ, t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szeg¨o inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalcın.