Close-to-convexity, starlikeness, and convexity of certain analytic functions
β Scribed by S. Owa; M. Nunokawa; H. Saitoh; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 339 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
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
## 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.
define two certain classes of functions S\*(a, p) and C(a, p) and obtain a certain connection between these classes.