Analytic Property of a Generalized Poisson Distribution

Abstract

Basic properties of probability with Poisson distribution is used in obtaining the coefficient bound by subordination principle which is the fundamental purpose of this work. A class of analytic function $f:\xi \rightarrow \mathbb{C}$ with unit disc $\xi :\{z\in\mathbb{C}:|z|<1\}$ is established. Likewise known results of Fekete-Szegö inequalities type and the second bound of Toeplitz determinant are obtained.