On special differential superordinations using a generalized Sălăgean operator and Ruscheweyh derivative

ALINA ALB LUPAS¸Abstract. In the present paper we establish several differential superordinations regarding the new operator RD m λ,α defined by using the generalized S˘ al˘ agean operator D m λ f (z) and Ruscheweyh derivative R m f ∞ j=n+1 a j z j , z ∈ U }. A number of interesting consequences of some of these superordination results are discussed. Relevant connections of some of the new results obtained in this paper with those in earlier works are also provided.