Some properties of a class of holomorphic functions associated with tangent function

Abstract

In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point theorem and partial sums results, necessary and sufficient conditions, convex combination, closure theorem, growth and distortion bounds, and radii of close-to-starlikeness and starlikeness for this newly defined functions class of holomorphic functions.

Keywords

• holomorphic functions
• subordination
• tangent function
• convolution
• janowski functions
• primary 30c45
• secondary 30c50