Fekete-Szegö type functionals associated with certain subclasses of bi-univalent functions

Abstract

In this article, we define and discuss some new subclasses of bi-univalent functions associated with Fibonacci numbers and shell-like curves. We estimate the first two Taylor-Maclaurin coefficients for functions belonging to these classes. We study the inequalities related with Fekete-Szegö type. Furthermore, we point out some corollaries related to existing result.

Keywords

• Analytic functions
• Bi-univalent functions
• Fekete-Szegö functional
• Coefficient bounds
• Shell-like curves
• Fibonacci numbers