Differential subordination, superordination results associated with Pascal distribution

Abstract

This paper aims to study differential subordination and superordination preserving properties for certain analytic univalent functions with in the open unit disk. In the present investigation, we obtain some subordination and superordination results involving Pascal distribution series for certain normalized analytic functions in the open unit disk. Also we estimate the sandwich results for the same class.

Keywords

• differential subordination
• differential superordination
• starlike function
• convex function
• holomorphic function
• pascal distribution series