On a subclass of certain p-valent starlike functions with negative coefficients

We introduce the subclass TΩ(n, p, λ, α, β) of analytic functions with negative coefficients defined by salagean operators D. In this paper we give some properties of functions in the class TΩ(n, p, λ, α, β) and obtain numerous sharp results including coefficient estimates, distortion theorems, closure theorems and modified Hadamard products of several functions belonging to the class TΩ(n, p, λ, α, β). We also obtain radii of close to convexity, starlikeness and convexity for the functions belonging to the class TΩ(n, p, λ, α, β) and consider integral operators associated with functions belonging to the class TΩ(n, p, λ, α, β). 2000 Mathematics Subject Classification: 30C45.