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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 13, Article ID 81615, 13 pages
doi:10.1155/IJMMS/2006/81615

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

Mark Elin and David Shoikhet

Department of Mathematics, ORT Braude College, P.O. Box 78, Karmiel 21982, Israel

Abstract

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.