An application of generalized distribution series on certain subclasses of univalent functions

In this study, we establish a relation between particular subclasses of complex-order univalent functions and generalized distribution series. The main aim of the present investigation is to obtain the necessary and sufficient conditions for generalized distribution series P ψ ( z ) belong to the classes S ( δ , η , β ) and R ( δ , η , β ) . We also provide some properties of integral operator connected to generalized distribution series and sufficient conditions for F ψ ( z ) to be in K ( η , δ ) and R ( η , δ ) . Also we discuss some corollaries and consequences of the major results.