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Öğe Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions(Tubitak Scientific & Technological Research Council Turkey, 2016) Sumer Eker, SevtapIn this study, we introduce and investigate two new subclasses of the bi-univalent functions; both f (z) and f(-1)(z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients vertical bar a(m+1)vertical bar are found in this investigation.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.Öğe ON CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH PASCAL DISTRIBUTION SERIES(Ankara Univ, Fac Sci, 2021) Seker, Bilal; Sumer Eker, SevtapIn this study, by establishing a connection between normalized univalent functions in the unit disc and Pascal distribution series, we have obtained the necessary and sufficient conditions for these functions to belong to some subclasses of univalent functions of complex-order. We also determined some conditions by considering the integral operator for these functions.Öğe On certain subclasses of univalent functions of complex order associated with poisson distribution series(Springer International Publishing Ag, 2020) Altunhan, Aslihan; Sumer Eker, SevtapIn the present paper, making a connection between some subclasses of univalent functions of complex order and Poisson distribution series, we give some conditions for Poisson distribution series belonging to these subclasses.
