On Certain Subclass of Analytic Functions with Fixed Point

Abstract EN

A new certain differential operator Tα,β,δ,λmf(z) and a subclass Sm,w*(α,β,γ,δ,λ) are introduced for functions of the form f(z)=(z−w)−∑n=2∞an(z−w)n which are univalent in the unit disc U={z∈ℂ:|z|<1}.

In this paper, we obtain coefficient inequalities, distortion theorem, closure theorems, and class preserving integral operators of functions belonging to the class Sm,w*(α,β,γ,δ,λ).