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

Abstract

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-psi(z) belong to the classes S(delta, eta, beta) and R(delta, eta, beta). We also provide some properties of integral operator connected to generalized distribution series and sufficient conditions for F-psi(z) to be in K(eta, delta) and R(eta, delta). Also we discuss some corollaries and consequences of the major results.