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Öğe Faber Polynomial Coefficient Estimates for Bi-univalent Functions Defined by the Tremblay Fractional Derivative Operator(Springer Singapore Pte Ltd, 2018) Srivastava, H. M.; Sumer Eker, Sevtap; Hamidi, S. G.; Jahangiri, J. M.Using the Tremblay fractional derivative operator in the complex domain, we introduce and investigate a new class of analytic and bi-univalent functions in the open unit disk. We use the Faber polynomial expansions to obtain upper bounds for the general coefficients of such functions subject to a gap series condition as well as obtaining bounds for their first two coefficients.
