Bounds on the curvature for functions with bounded boundary rotation of order 1−b
Let Vk(1−b), k≥2 and b≠0 real, denotes the class of locally univalent analytic functions f(z)=z+∑n=2∞anzn in D={z:|z|<1} such that ∫02π|Re{1+1bzf″(z)f′(z)}|dθ<πk, z=reiθ∈D. In this note sharp bounds on the curvature of the image of |z|=r, 0<r<1, under a mapping f belonging to the class V...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1986-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117128600008X |