EXPLICIT RATIONAL FUNCTIONS WHOSE JULIA SETS ARE JORDAN ARCS
Published online by Cambridge University Press: 24 May 2004
Abstract
A class of rational functions and sufficient conditions on it such that the Julia set is a Jordan arc, respectively no Jordan arc, are introduced. Further, it is shown that any rational function which has a Jordan arc as Julia set belongs up to Möbius conjugation to this class.
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- The London Mathematical Society 2004
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