Angle distortion theorems for starlike and spirallike functions with respect to a boundary point

We exhibit angle bounds for starlike and spirallike functions with respect to a boundary point. As an application, we obtain a covering theorem for functions convex in one direction.

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Bibliographic Details
Main Authors: Mark Elin, David Shoikhet
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/81615
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Description
Summary:We exhibit angle bounds for starlike and spirallike functions with respect to a boundary point. As an application, we obtain a covering theorem for functions convex in one direction.
ISSN:0161-1712
1687-0425