On Miller–Ross-Type Poisson Distribution Series

Abstract

The objective of the current paper is to find the necessary and sufficient conditions for Miller–Ross-type Poisson distribution series to be in the classes ST*(γ,β) and KT(γ,β) of analytic functions with negative coefficients. Furthermore, we investigate several inclusion properties of the class Yσ(V,W) associated of the operator Iα,cε defined by this distribution. We also take into consideration an integral operator connected to series of Miller–Ross-type Poisson distributions. Special cases of the main results are also considered.

Keywords

• analytic functions
• starlike functions
• convex functions
• Hadamard product
• Miller–Ross-type Poisson distribution series