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.