Fekete-Szegö Inequality for a Subclass of Bi-univalent Functions by Applying Sălăgean q-Differential Operator

Abstract

Throughout this study, we propose a new subclass of bi-univalent functions by applying Sălăgean q-differential operator and denoted as LΣ_q^k (λ,ϕ). Further, we acquired the values of the initial coefficients |a_2 | and |a_3 | for functions f∈LΣ_q^k (λ,ϕ) which yield to this study’s preliminary result. Subsequently, the preliminary result was applied to obtain the upper bound of Fekete-Szegö inequality, |a_3-ρa_2^2 |, for functions f∈LΣ_q^k (λ,ϕ).