## Abstract In this paper, we will give a sufficient condition for locally univalent holomorphic functions on the unit disc . in C to be strongly starlike. Also, we will give sufficient conditions for locally biholomorphic mappings on the unit ball __B__ in a complex Banach space __X__ to be starli
Starlikeness and Certain Class of Rational Functions
✍ Scribed by Milutin Obradović
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 157 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
A new criterion for starlikeness in the unit disc and an application to a certain class of rational functions are given.
📜 SIMILAR VOLUMES
In this paper the classes of uniformly convex and uniformly starlike functions are Ž presented as dual sets for certain function families in the sense of convolution . theory . The results are used to find some sharp sufficient conditions for functions, regular in the unit disk, to belong to the abo
Let z be an analytic function with positive real part on ⌬ s z; z -1 with Ž . Ž . 0 s 1, Ј 0 ) 0 which maps the unit disk ⌬ onto a region starlike with respect Ž . to 1 and symmetric with respect to the real axis. Let ST denote the class of Ž . Ž . Ž . Ž . Ž . Ž . analytic functions f z with f 0 s