In the present paper we study the operator RDⁿ_λ;αf(z; ς) defined by using the extended Ruscheweyh derivative Rⁿf(z; ς) and the extended generalized Šalăgean operator Dⁿ_λf(z; ς), as RDⁿ_λ;α: A*_ς → A*_ς, RDⁿ_λ;αf(z; ς) = (1-α)Rⁿf(z; ς)+αDⁿ_λf(z; ς); where A*_nς = {f ∈ H(U × Ū); f(z; ς) = z + a_n+1 (ς) zⁿ⁺¹ +:::; z ∈ U; ς ∈ Ū} is the class of normalized analytic functions with A*_1ς = A*_ς: We obtain several strong differential subordinations regarding the extended operator RDⁿ λ;α. Some examples are presented. © 2015, North University of Baia Mare. All rights reserved.