Article (Scientific journals)
Universality properties of Taylor series inside the domain of holomorphy
Beise, Peter; MEYRATH, Thierry; Müller, Jürgen
2011In Journal of Mathematical Analysis and Applications, 383 (1), p. 234 - 238
Peer reviewed
 

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Keywords :
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.
Disciplines :
Mathematics
Author, co-author :
Beise, Peter;  Universität Trier > Fachbereich IV - Mathematik
MEYRATH, Thierry ;  Universität Trier > Fachbereich IV - Mathematik
Müller, Jürgen;  Universität Trier > Fachbereich IV - Mathematik
Language :
English
Title :
Universality properties of Taylor series inside the domain of holomorphy
Publication date :
2011
Journal title :
Journal of Mathematical Analysis and Applications
ISSN :
0022-247X
Publisher :
Academic Press, San Diego, United States - California
Volume :
383
Issue :
1
Pages :
234 - 238
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 24 May 2013

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