The Open UniversitySkip to content

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


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
Share this page:

Actions (login may be required)

View Item
Report issue / request change

Policies | Disclaimer

© The Open University   + 44 (0)870 333 4340