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arXiv:1207.5214 [math.DS]AbstractReferencesReviewsResources

On the spherical derivative of a rational function

Matthew Barrett, Alexandre Eremenko

Published 2012-07-22Version 1

For a rational function f we consider the norm of the derivative with respect to the spherical metric and denote by K(f) the supremum of this norm. We give estimates of this quantity K(f) both for an individual function and for sequences of iterates.

Comments: 11 pages
Categories: math.DS, math.CV
Subjects: 30D99, 37F10
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