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Two hyperbolic Schwarz lemmas
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper, a sharp version of the Schwarz–Pick Lemma for hyperbolic derivatives is provided for holomorphic selfmappings on the unit disk with fixed multiplicity for the zero at the origin. This extends a recent result due to Beardon. A property of preserving hyperbolic distances also studied by Beardon is here completely characterised.
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- Copyright © Australian Mathematical Society 2002
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