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 MΣa,b,c(λ,ν,ψ1,ψ2) 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 ????Σ(ψ1,ψ2), ??Σ(ψ1,ψ2), ?Σ(ψ1,ψ2) and MΣa,b,c(λ,ψ1) 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 ψ1,ψ2. Some useful consequences and relationships with some of the known results are also pointed out.