Subclasses of close-to-convex functions
Let 𝒦[C,D], −1≤D<C≤1, denote the class of functions g(z), g(0)=g′(0)−1=0, analytic in the unit disk U={z:|z|<1} such that 1+(zg″(z)/g′(z)) is subordinate to (1+Cz)/(1+Dz), z ϵ U. We investigate the subclasses of close-to-convex functions f(z), f(0)=f′(0)−1=0, for which there exists g ϵ 𝒦[C,D]...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1983-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000393 |