On Certain Subclass of Analytic Functions with Fixed Point

Abstract

A new certain differential operatorTα,β,δ,λmf(z)and a subclassSm,w*(α,β,γ,δ,λ)are introduced for functions of the formf(z)=(z−w)−∑n=2∞an(z−w)nwhich are univalent in the unit discU={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 classSm,w*(α,β,γ,δ,λ).