Starlike Functions of the Miller–Ross-Type Poisson Distribution in the Janowski Domain

Abstract

In this paper, considering the various important applications of Miller–Ross functions in the fields of applied sciences, we introduced a new class of analytic functions f, utilizing the concept of Miller–Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of f, coefficient inequalities for f−1 and the Fekete–Szegö problem. We also covered some key geometric properties for functions f in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings.

Keywords

• analytic function
• starlike function
• subordination
• Fekete–Szegö inequality
• Miller–Ross distribution series