On certain subclasses of univalent functions associated with Pascal distribution series

Abstract

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