Subclass of Analytic Functions Related with Pascal Distribution Series

Abstract

The prime purpose of this article is to derive a necessary and sufficient condition for a linear operator associated with the Pascal distribution series to be in the class$\mathfrak{T}\mathcal{S}\left(\mu ,\sigma ,\delta \right)$of analytic functions. Moreover, inclusion relation and an integral operator linked to the Pascal distribution series is considered. We have also provided some results as corollaries of our theorems.