Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers

Abstract

Abstract This paper is concerned with certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers. We find estimates of the initial coefficients |a2| and |a3| for the functions in these classes. Also we investigate upper bounds for the Fekete-Szegö functional and second Hankel determinant for these classes.