Subclasses of Starlike and Convex Functions Associated with Pascal Distribution Series

Abstract

In the present paper, we determine new characterisations of the subclasses(formula presented) and (formula presented) of analytic functions associated with Pascal distribution series (formula presented). Further, we give necessary and sufficient conditions for an integral operator related to Pascal distribution series (formula presented) to belong to the above classes. Several corollaries and consequences of the main results are also considered.