## 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
A Criterion for Starlikeness
✍ Scribed by Milutin Obradović; Shigeyoshi Owa
- Publisher
- John Wiley and Sons
- Year
- 1989
- Tongue
- English
- Weight
- 230 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstraet. Let f(z) =z+%zZ+ ... be analytic in the unit disc U = ( z : IzI -=l). By use of certain , zE U, end the method of differential subordinations, we give a criterion for a function f ( z ) to be in a certain class S*[a, b] of starlike functions.
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