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

摘要

In this investigation, by using the Tremblay fractional derivative operator, we introduce the new class J_(Σ,γ)~(μ,ρ)(p) 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 ∣a_n∣ of the bi-univalent function class.