Properties on a subclass of univalent functions defined by using a generalized Sălăgean operator and Ruscheweyh derivative.

In this paper we have introduced and studied the subclass RD(d, α, ß) of univalent functions defined by the linear operator RDⁿ_λδ f(z) defined by using the Ruscheweyh derivative Rⁿf(z) and the generalized Salagean operator Dⁿ₉₅₅f(z), as RDⁿ_λ,α : A → A, RDⁿ_λδf (z) = (1-y) Rⁿ f(z) + yDⁿ_λf(z), z ∈ U, where An = {f ∈ H(U) : f (z) = z + a_n+1zⁿ⁺¹ + . . . , z ∈ U} is the class of normalized analytic functions with A_I = A. The main object is to investigate several properties such as coefficient estimates, distortion theorems, closure theorems, neighborhoods and the radii of starlikeness, convexity and close-to-convexity of functions belonging to the class RD(d, α, β). [ABSTRACT FROM AUTHOR]