Applications of a certain q-integral operator to the subclasses of analytic and bi-univalent functions

In the present investigation, our aim is to define a generalized subclass of analytic and bi-univalent functions associated with a certain q-integral operator in the open unit disk U. We estimate bounds on the initial Taylor-Maclaurin coefficients a₂ and a₃ for normalized analytic functions f in the open unit disk by considering the function f and its inverse g = f^-1. Furthermore, we derive special consequences of the results presented here, which would apply to several (known or new) subclasses of analytic and bi-univalent functions.