Geometric Properties of Analytic Functions Defined by the (p, q) Derivative Operator Involving the Poisson Distribution

Abstract

The objective of the current paper is to find the necessary and sufficient condition for the function to belong to the subclass of $C\left(d,\delta ,\mu ,\beta \right)$ of analytic functions involving the Poisson distribution defined by the $\left(p,q\right)$ derivative operator. Furthermore, distortion bounds, covering theorems, a radius of starlikeness, and convexity for functions belonging to this class are obtained.