Abstract
AbstractThe Fatou–Julia theory for rational functions has been extended both to transcendental meromorphic functions and more recently to several different types of quasiregular mappings in higher dimensions. We extend the iterative theory to quasimeromorphic mappings with an essential singularity at infinity and at least one pole, constructing the Julia set for these maps. We show that this Julia set shares many properties with those for transcendental meromorphic functions and for quasiregular mappings of punctured space.
Publisher
Cambridge University Press (CUP)
Cited by
2 articles.
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1. Permutable quasiregular maps;Mathematical Proceedings of the Cambridge Philosophical Society;2021-06-03
2. On slow escaping and non-escaping points of quasimeromorphic mappings;Ergodic Theory and Dynamical Systems;2020-01-22