On Salagean type pseudo-starlike functions


ALTINKAYA Ş., SAĞLAM ÖZKAN Y.

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, cilt.21, sa.2, ss.275-285, 2017 (ESCI) identifier identifier

Özet

We construct two new subclasses of univalent functions in the open unit disk U = {z : vertical bar z vertical bar < 1 . For the first class ( pound lambda)(beta) of Salagean type lambda--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 ( pound lambda)(beta, phi) we obtain Fekete-Szego inequalities. The results presented in this paper generalize the recent work of Babalola.