The Fekete-Szeg? problem for a Ma-Minda type class of bi-univalent functions associated with the Hohlov operator

摘要

In this paper, we solve Fekete-Szeg? problem for a Ma-Minda type class M_Σ~(a,b,c) (λ, ν,ψ_1, ψ_2) of bi-univalent functions associated with the Hohlov operator which is a specialized case of the widely-investigated Dziok-Srivastava operator which, in turn, is contained in the Srivastava-Wright operator. Results for some of its consequent classes ST_(Σ(ψ_1, ψ_2)_, K_(Σ(ψ_1, ψ2)), M_(Σ(ψ_1, ψ_2)_ and M_Σ~(a,b,c) (λ, ψ_1) are also given. A function f in this class may satisfy one subordinate condition, whereas f-1, another. One result for that is also given by considering certain ψ_1, ψ_2. Some useful consequences and relationships with some of the known results are also pointed out.