Geodesic
On unavoidable families of meromorphic functions
Canadian mathematical bulletin, Tome 66 (2023) no. 1, pp. 114-123

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DOI

We prove several results on unavoidable families of meromorphic functions. For instance, we give new examples of families of cardinality 3 that are unavoidable with respect to the set of meromorphic functions on $\mathbb C$. 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 $\mathbb C$.
DOI : 10.4153/S000843952100093X
Mots-clés : Unavoidable families, zero–one sets, Nevanlinna Theory 
Meyrath, Thierry. On unavoidable families of meromorphic functions. Canadian mathematical bulletin, Tome 66 (2023) no. 1, pp. 114-123. doi: 10.4153/S000843952100093X
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