Reference : Universal radial limits of meromorphic functions in the unit disk
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/52115
Universal radial limits of meromorphic functions in the unit disk
English
Meyrath, Thierry mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit]
2022
Comptes Rendus. Mathématique
Elsevier Masson
360
893 - 898
Yes
International
1631-073X
1778-3569
Paris
France
[en] Universality ; boundary behaviour ; maximal cluster sets
[en] We consider the space of meromorphic functions in the unit disk $\D$ and show that there exists a dense $G_{\delta}$-subset of functions having universal radial limits. Our results complement known statements about holomorphic functions and further imply the existence of meromorphic functions having maximal cluster sets along certain subsets of $\D$.
http://hdl.handle.net/10993/52115
10.5802/crmath.352
https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.352/

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