On Salagean type pseudo-starlike functions

Abstract

We construct two new subclasses of univalent functions in the open unit disk U = {z : |z| < 1}. For the first class £_λ(β) of Salagean type λ-pseudo-starlike functions, using the sigmoid function, we establish upper bounds for the initial coefficients of the functions in this class. Furthermore, for the second class £_λ (β, φ) we obtain Fekete-Szegö inequalities. The results presented in this paper generalize the recent work of Babalola.