Srivastava, Hari M.Sakar, Fethiye MügeGüney, Hatun Özlem2023-10-202023-10-202018Srivastava, H.M., Sakar, F. M. ve Güney, H. Ö. (2018). Some general coefficient estimates for a new class of analytic and bi-univalent functions defined by a linear combination. Filomat, 32(4), 1313-1322.0354-5180https://doiserbia.nb.rs/img/doi/0354-5180/2018/0354-51801804313S.pdfhttps://hdl.handle.net/11468/12887In the present paper, we introduce and investigate a new class of analytic and bi-univalent functions f (z) in the open unit disk U. For this purpose, we make use of a linear combination of the following three functions: f (z)z, f′ (z) and z f′′ (z) for a function belonging to the normalized univalent function class S. By applying the technique involving the Faber polynomials, we determine estimates for the general Taylor-Maclaurin coefficient of functions belonging to the analytic and bi-univalent function class which we have introduced here. We also demonstrate the not-too-obvious behaviour of the first two Taylor-Maclaurin coefficients of such functions.eninfo:eu-repo/semantics/openAccessAnalytic functionsBi-Univalent functionsCarathéodory LemmaFaber polynomialsLinear combinationTaylor-Maclaurin coefficientsUnivalent functionsArticle32413131322WOS:0004441062000162-s2.0-8505229210310.2298/FIL1804313SQ3Q2