Geodesic
On unique range sets of meromorphic functions in $\mathbb{C}^m$
Archivum mathematicum, Tome 43 (2007) no. 3, pp. 185-195 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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By considering a question proposed by F. Gross concerning unique range sets of entire functions in $\mathbb {C}$, we study the unicity of meromorphic functions in $\mathbb {C}^m$ that share three distinct finite sets CM and obtain some results which reduce $5\le c_3(\mathcal {M}(\mathbb {C}^m))\le 9$ to $5\le c_3(\mathcal {M}(\mathbb {C}^m))\le 6$.
By considering a question proposed by F. Gross concerning unique range sets of entire functions in $\mathbb {C}$, we study the unicity of meromorphic functions in $\mathbb {C}^m$ that share three distinct finite sets CM and obtain some results which reduce $5\le c_3(\mathcal {M}(\mathbb {C}^m))\le 9$ to $5\le c_3(\mathcal {M}(\mathbb {C}^m))\le 6$.
Classification : 32A22
Keywords: entire (holomorphic) functions; meromorphic functions; unique range sets; linearly (in)dependent 
@article{ARM_2007_43_3_a4,
     author = {Bai, Xiao-Tian and Han, Qi},
     title = {On unique range sets of meromorphic functions in $\mathbb{C}^m$},
     journal = {Archivum mathematicum},
     pages = {185--195},
     year = {2007},
     volume = {43},
     number = {3},
     mrnumber = {2354807},
     zbl = {1164.32001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007_43_3_a4/}
}
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Bai, Xiao-Tian; Han, Qi. On unique range sets of meromorphic functions in $\mathbb{C}^m$. Archivum mathematicum, Tome 43 (2007) no. 3, pp. 185-195. http://geodesic.mathdoc.fr/item/ARM_2007_43_3_a4/