Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-30T19:54:23.310Z Has data issue: false hasContentIssue false
  • English
  • Français

ASYMPTOTIC TRACTS OF LOCALLY UNIVALENT FUNCTIONS

Published online by Cambridge University Press:  15 March 2002

KARL F. BARTH  and
PHILIP J. RIPPON
KARL F. BARTH
Affiliation:
Department of Mathematics, Syracuse University, Syracuse, NY 13244, [email protected]
PHILIP J. RIPPON
Affiliation:
Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes MK7 6AA [email protected]
Get access

Abstract

Several results are proved, related to an old problem posed by G. R. MacLane, namely whether functions in the class [Ascr ] that are locally univalent can have arc tracts. In particular, a proof is given of an assertion of MacLane that if f ∈ [Ascr ] is locally univalent and has no arc tracts, then f′ ∈ [Ascr ].

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 2 , March 2002 , pp. 200 - 204
Copyright
© 2002 The London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)