Estimates for Coefficients of Bi-Univalent Functions Associated with a Fractional q-Difference Operator

Abstract

In the present paper, we discuss a class of bi-univalent analytic functions by applying a principle of differential subordinations and convolutions. We also formulate a class of bi-univalent functions influenced by a definition of a fractional q-derivative operator in an open symmetric unit disc. Further, we provide an estimate for the function coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar of the new classes. Over and above, we study an interesting Fekete-Szego inequality for each function in the newly defined classes.