Asymptotic tracts of locally univalent functions

Barth, Karl F. and Rippon, Philip J. (2002). Asymptotic tracts of locally univalent functions. Bulletin of the London Mathematical Society, 34 pp. 200–204.

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Abstract

Several results are proved which are related to an old problem of G.R. MacLane, namely, whether functions in the class $\mathcal{A}$ that are locally univalent can have arc tracts. In particular, a proof is given of an assertion of MacLane that if $f\in\mathcal{A}$ is locally univalent and has no arc tracts, then $f'\in\mathcal{A}$ .

Item Type:	Journal Article
ISSN:	0024-6093
Extra Information:	Some of the symbols may not have transferred correctly into this bibliographic record.
Keywords:	asymptotic value; tract; MacLane class; locally univalent
Academic Unit/Department:	Mathematics, Computing and Technology > Mathematics and Statistics
Item ID:	3628
Depositing User:	Philip Rippon
Date Deposited:	03 Aug 2006
Last Modified:	02 Dec 2010 19:50
URI:	http://oro.open.ac.uk/id/eprint/3628

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