Comptes Rendus
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Analyse et géométrie complexes
Universal radial limits of meromorphic functions in the unit disk
Thierry Meyrath1
1 University of Luxembourg, Department of Mathematics, 6, avenue de la Fonte, 4364 Esch-sur-Alzette, Luxembourg
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 893-898.

We consider the space of meromorphic functions in the unit disk 𝔻 and show that there exists a dense G δ -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.

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Accepté le :
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DOI : 10.5802/crmath.352
Classification : 30K15, 30D40, 30D35, 30D30

Thierry Meyrath 1

1 University of Luxembourg, Department of Mathematics, 6, avenue de la Fonte, 4364 Esch-sur-Alzette, Luxembourg
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Universal radial limits of meromorphic functions in the unit disk},
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Thierry Meyrath. Universal radial limits of meromorphic functions in the unit disk. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 893-898. doi : 10.5802/crmath.352. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.352/

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