On the some subclasses of bi-univalent functions related to the Faber polynomial expansions and the Fibonacci numbers
Şahsene Altınkaya and Sibel Yalçın

Abstract. In this investigation, by using the Tremblay fractional derivative operator, we introduce a new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general coefficient |an| of the bi-univalent function class

Rend. Mat. Appl. (7) 41 (2020) 105-116; pdf