## Abstract The object of the present paper is to prove some interesting sufficient conditions for __p__βvalently closeβtoβconvex and starlike functions in the unit disk.
On radii of starlikeness, convexity, close-to-convexity for p-valent functions
β Scribed by R. M. Goel
- Publisher
- Springer
- Year
- 1972
- Tongue
- English
- Weight
- 290 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
main object of the present paper is to derive several sufficient conditions for close-to-convexity, starlikeness, and convexity of certain (normalized) analytic functions. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
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