Reference : On unavoidable families of meromorphic functions
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/48644
On unavoidable families of meromorphic functions
English
Meyrath, Thierry mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)]
In press
Canadian Mathematical Bulletin
Canadian Mathematical Society
Yes (verified by ORBilu)
International
0008-4395
1496-4287
Montréal
Canada
[en] Meromorphic functions ; Unavoidable functions ; Nevanlinna Theory
[en] We prove several results on unavoidable families of meromorphic functions. For instance, we give new examples of families of cardinality three that are unavoidable with respect to the set of meromorphic functions on $\C$. We further obtain families consisting of less than three functions that are unavoidable with respect to certain subsets of meromorphic functions. In the other direction, we show that for every meromorphic function $f$, there exists an entire function that avoids $f$ on $\C$.
http://hdl.handle.net/10993/48644
10.4153/S000843952100093X
https://www.cambridge.org/core/journals/canadian-mathematical-bulletin/article/on-unavoidable-families-of-meromorphic-functions/6D4D3B92AFA7515EF8D89F2E10855D44

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