A new criterion for starlikeness in the unit disc and an application to a certain class of rational functions are given.
On certain properties for some classes of starlike functions
✍ Scribed by Milutin Obradović; Shigeyoshi Owa
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 304 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
## Abstract Certain subclasses 𝒜~__p__~(__j__, α), ℬ︁~__p__~(__j__, α) and 𝒢~__p,b__~(__j__, α) of multivalent functions in the unit disk are introduced. The object of the present paper is to derive some properties of functions belonging to the classes 𝒜~__p__~(__j__, α), ℬ︁~__p__~(__j__, α), or 𝒢~