## 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
Some starlikeness criterions for analytic functions
β Scribed by Yucan Zhu
- Book ID
- 108175278
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 111 KB
- Volume
- 335
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let z be an analytic function with positive real part on β¬ s z; z -1 with Ε½ . Ε½ . 0 s 1, Π 0 ) 0 which maps the unit disk β¬ onto a region starlike with respect Ε½ . to 1 and symmetric with respect to the real axis. Let ST denote the class of Ε½ . Ε½ . Ε½ . Ε½ . Ε½ . Ε½ . analytic functions f z with f 0 s
A normalized analytic function f defined on the open unit disk is a Janowski starlike , where A and B are complex numbers satisfying the conditions |B| β€ 1 and A ΜΈ = B. In this paper, a new class of analytic functions defined by means of subordination is introduced. Sufficient conditions are obtain
We denote by A, the class of all analytic functions f in the unit disc β = {z β C : |z| < 1} with the normalization f (0) = f β² (0) -1 = 0. For a positive number Ξ» > 0, we denote by β A, such that a 3 -a 2 2 = 0, and satisfying the condition In this paper, we find conditions on Ξ», Ξ± and Ξ³ such tha