Some constraints of hypergeometric functions to belong to certain subclasses of analytic functions

Abstract

The purpose of this paper is to introduce sufficient conditions for (Gaussian) hypergeometric functions to be in various subclasses of analytic functions. Also, we investigate several mapping properties involving these subclasses.

Keywords

• Starlike
• Convex
• k-Starlike
• k-Uniformly convex
• Hypergeometric function
• Hohlov operator