A Subclass of Analytic Functions Associated with Hypergeometric Functions

Abstract

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.

Keywords

• Univalent function
• Starlike and convex functions
• Gaussian hypergeometric function
• Carlson-Shaffer operator
• Coefficient estimates