On a certain subclass of analytic functions involving generalized Sălăgean operator and Ruscheweyh derivative.

The main object of this paper is to study some properties of certain subclass of analytic functions in the open unit disc which is defined by the linear operator RD_{λ, α}ⁿ : A → A, RD_{λ, α}ⁿ (z) = (1 - α)Rⁿ f(z) + αD_λⁿ f(z), z ∈ U, where Rⁿ f(z) is the Ruscheweyh derivative, D_λⁿ f(z) the generalized Sălăgean operator and A_n = {f ∈ H(U) : f(z) = z + a_n+1zⁿ⁺¹ ..., z ∈ U} is the class of normalized analytic functions with A₁ = A. These properties include a coefficient inequality, distorsion theorem and extreme points of differential operator. We also discuss the boundedness properties associated with partial sums of functions in the class TS_{λ, αn} (β, γ) . [ABSTRACT FROM AUTHOR]