Abstract
Approximation theory of entire functions has been used to prove the existence of unbounded components of the normality set with various properties. For instance we show that there exist infinitely many unbounded components of the normality set whose iteration may converge to a unique point or to infinitely many distinct points. Also we show that there exist infinitely many unbounded wandering domains having finitely many distinct paths and also infinitely many distinct paths.
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More From: Complex Variables, Theory and Application: An International Journal
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