Document Type : Research Paper

Author

• Murugusundaramoorthy Gangadharan

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore-632 014, India

Abstract

The purpose of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. To be more precise, we investigate such connections with the classes of parabolic starlike and uniformly convex functions with positive coefficients in the open unit disk $\mathbb{U}.$

Keywords

• Starlike functions
• Convex functions
• Uniformly Starlike functions
• Uniformly Convex functions
• Hadamard product
• Pascal distribution series