On Salagean type pseudo-starlike functions
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, vol.21, no.2, pp.275-285, 2017 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 21 Issue: 2
- Publication Date: 2017
- Doi Number: 10.12697/acutm.2017.21.19
- Journal Name: ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.275-285
- Bursa Uludag University Affiliated: Yes
Abstract
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.