Hankel Determinant for a Subclass of Bi-Univalent Functions Defined by Using a Symmetric q-Derivative Operator

Abstract

In this paper, we discuss the various properties
of a newly-constructed subclass of the class of
normalized bi-univalent
functions in the open unit disk, which is defined here by using a symmetric
basic (or $q$-) derivative operator.
Moreover, for functions belonging to this new
basic (or $q$-) class of normalized bi-univalent
functions, we investigate the estimates and inequalities
involving the second Hankel determinant.