On univalent functions defined by a generalized Sălăgean operator

We introduce a class of univalent functions R n ( λ , α ) defined by a new differential operator D n f ( z ) , n ∈ ℕ 0 = { 0 , 1 , 2 , … } , where D 0 f ( z ) = f ( z ) , D 1 f ( z ) = ( 1 − λ ) f ( z ) + λ z f ′ ( z ) = D λ f ( z ) , λ ≥ 0 , and D n f ( z ) = D λ ( D n − 1 f ( z ) ) . Inclusion relations, extreme points of R n ( λ , α ) , some convolution properties of functions belonging to R n ( λ , α ) , and other results are given.