A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions

In this paper, we introduce a newly defined  subclass \mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk. Moreover, we use the Faber polynomial expansion to derive bounds for the Fekete-Szego problem and first two \emph{Taylor-Maclaurin coefficients} |a_۲| and |a_۳| for functions of this class.

کلیدواژه ها:

Analytic function ، Bi-univalent function ، Coefficient estimates ، Faber polynomial expansion ، Tremblay fractional derivative operator