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Öğe Problem on coefficients of bi-univalent function class using chebyshev polynomials(Springer Science and Business Media Deutschland GmbH, 2022) Sakar, Fethiye Müge; Doğan, Ertuğrul; 0000-0002-3884-3957In the present paper, first, we introduced two new subclasses. Subsequently, initial coefficient estimations | a2| and | a3| are established by using Chebyshev polynomials expansions for these subclasses. Additionally, Fekete–Szegö inequality |a3-?a22| is derived for functions belonging to the first subclass. Further, we discuss the relevant consequences of these subclasses.