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RADIAL AND TANGENTIAL GROWTH OF CLOSE-TO-CONVEX FUNCTIONS

Published online by Cambridge University Press:  15 February 2005

J. B. Twomey
J. B. Twomey
Affiliation:
Department of Mathematics, University College Cork, Cork, Ireland (twomeyjb@ucc.ie)
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Abstract

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Some results are presented relating to questions raised in a recent paper by Anderson, Hayman and Pommerenke regarding the size of the set of boundary points of the unit disc at which a univalent function has a prescribed radial growth.

AMS 2000 Mathematics subject classification: Primary 30C55

Keywords

radial growthunivalent functionsclose-to-convex functionsexceptional sets
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 1 , February 2005 , pp. 231 - 240
Copyright
Copyright © Edinburgh Mathematical Society 2005