New classes containing multiplier transformation and Ruscheweyh derivative.

In this paper we introduce new classes containig the linear operator RIn, λ, lα : A → A, RIn, λ, lα f(z) = (1 - α)Rnf(z) + αI (n, λ, l) f(z), ∈ U, where Rnf(z) is the Ruscheweyh derivative, I (n, λ, l) f(z) the multiplier transformation and An = {f ∈ H(U) : f(z) = z + an+1zn+1 + ..., z ∈ U} is the class of normalized analytic functions with A1 = A. Characterization and other properties of these classes are studied. [ABSTRACT FROM AUTHOR]