On certain sufficient conditions for starlike functions. (English) Zbl 1265.30074
Summary: In this paper, we use the method of differential subordination to consider certain properties of \(\frac{f (z)f'' (z)}{ (f' (z))^2}\) as sufficient conditions for starlike functions.
MSC:
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 30C80 | Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination |
