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.