Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Abstract

In this paper, we introduce and investigate new subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions in these classes. Also, we determine Fekete-Szegö inequalities for these function classes.

Keywords

• analytic functions
• bi-univalent
• shell-like curve
• fibonacci numbers
• starlike functions
• convex functions
• 30c45
• 30c50