Non-normality, topological transitivity and expanding families

Reference : Non-normality, topological transitivity and expanding families


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/49030

Title :	Non-normality, topological transitivity and expanding families
Language :	English
Author, co-author :	Meyrath, Thierry [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
	Müller, Jürgen [University of Trier > Fachbereich IV - Mathematik]
Publication date :	2022
Journal title :	Mathematical Proceedings of the Cambridge Philosophical Society
Publisher :	Cambridge University Press
Volume :	173
Issue/season :	3
Pages :	511 - 523
Peer reviewed :	Yes
Audience :	International
ISSN :	0305-0041
e-ISSN :	1469-8064
Country :	United Kingdom
Keywords :	[en] Normal Families ; Montel's Theorem ; Transitivity
Abstract :	[en] We investigate the behaviour of families of meromorphic functions in the neighbourhood of points of non-normality and prove certain covering properties that complement Montel’s Theorem. In particular, we also obtain characterisations of non-normality in terms of such properties.
Permalink :	http://hdl.handle.net/10993/49030
DOI :	10.1017/S0305004121000700
Other URL :	https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/nonnormality-topological-transitivity-and-expanding-families/0E8A5E82DDAE87712739E03934487D7F#article

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