On slow escaping and non-escaping points of quasimeromorphic mappings

We show that for any quasimeromorphic mapping with an essential singularity at infinity, there exist points whose iterates tend to infinity arbitrarily slowly. This extends a result by Nicks for quasiregular mappings, and Rippon and Stallard for transcendental meromorphic functions on the complex pl...

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Veröffentlicht in:	Ergodic theory and dynamical systems 2021-04, Vol.41 (4), p.1190-1216
1. Verfasser:	WARREN, LUKE
Format:	Artikel
Sprache:	eng
Schlagworte:	Infinity Mapping Meromorphic functions Original Article Singularity (mathematics)
Online-Zugang:	Volltext
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