Fekete-Szeg¨o Problem for Certain Subclass of Analytic Univalent Function using Quasi-Subordination

B. Srutha Keerthi and P. Lokes

Abstract

An analytic function f is quasi-subordinate to an analytic function g, in the open unit disk if there exist analytic functions ϕ and w, with |ϕ(z)| ≤ 1, w(0) = 0 and |w(z)| < 1 such that f(z) = ϕ(z)g(w(z)). Certain subclass of analytic univalent functions associated with quasisubordination are defined and the bounds for the Fekete-Szeg¨o coefficient functional |a3 − µa2 2 | for functions belonging to these subclass is derived.