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ASYMPTOTIC TRACTS OF LOCALLY UNIVALENT FUNCTIONS
Published online by Cambridge University Press: 15 March 2002
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 ].
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- © 2002 The London Mathematical Society
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