Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative

In this paper we introduce a new subclass of the bi-univalent functions defined in the open unit disc and connected with a q-analogue derivative. We find estimates for the first two Taylor-Maclaurin coefficients |a2| and |a3| for functions in this subclass, and we obtain an estimation for the Fekete-Szegő problem for this function class