Application of Sigmoid function in the space of univalent functions based on subordination

Abstract

In the present paper, we introduce a new subclass of normalized analytic and univalent functions in the open unit disk associated with Sigmoid function. Coefficient estimates, convolution conditions, convexity and some other geometric properties for functions in this class are investigated. Also, subordination and inclusion results are obtained.

Keywords

• sigmoid function
• convolution
• subordination
• coefficient bound
• convex set