Universality properties of Taylor series inside the domain of holomorphy

Reference : Universality properties of Taylor series inside the domain of holomorphy


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/2199

Title :	Universality properties of Taylor series inside the domain of holomorphy
Language :	English
Author, co-author :	Beise, Peter [Universität Trier > Fachbereich IV - Mathematik]
	Meyrath, Thierry [Universität Trier > Fachbereich IV - Mathematik]
	Müller, Jürgen [Universität Trier > Fachbereich IV - Mathematik]
Publication date :	2011
Journal title :	Journal of Mathematical Analysis & Applications
Publisher :	Academic Press
Volume :	383
Issue/season :	1
Pages :	234 - 238
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0022-247X
City :	San Diego
Country :	CA
Keywords :	[en] Universal series ; Polar sets ; Overconvergence
Abstract :	[en] It is proven that the Taylor series of functions holomorphic in $\C_{\infty} \setminus \{1\}$ generically have certain universality properties on small sets outside the unit disk. Moreover, it is shown that such sets necessarily are polar sets.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/2199
DOI :	10.1016/j.jmaa.2011.05.020

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