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.

Google Scholar:	Look up in Google Scholar

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 Item
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/School:	Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID:	3628
Depositing User:	Philip Rippon
Date Deposited:	03 Aug 2006
Last Modified:	04 Oct 2016 09:50
URI:	http://oro.open.ac.uk/id/eprint/3628
Share this page:

Actions (login may be required)

CORE (COnnecting REpositories)

Policies | Disclaimer