Reference : Universality properties of Taylor series inside the domain of holomorphy
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/2199
Universality properties of Taylor series inside the domain of holomorphy
English
Beise, Peter [Universität Trier > Fachbereich IV - Mathematik]
Meyrath, Thierry mailto [Universität Trier > Fachbereich IV - Mathematik]
Müller, Jürgen [Universität Trier > Fachbereich IV - Mathematik]
2011
Journal of Mathematical Analysis & Applications
Academic Press
383
1
234 - 238
Yes (verified by ORBilu)
International
0022-247X
San Diego
CA
[en] Universal series ; Polar sets ; Overconvergence
[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.
Researchers
http://hdl.handle.net/10993/2199
10.1016/j.jmaa.2011.05.020

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