# On unique range sets of meromorphic functions in ${\u2102}^{m}$

Archivum Mathematicum (2007)

- Volume: 043, Issue: 3, page 185-195
- ISSN: 0044-8753

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topBai, Xiao-Tian, and Han, Qi. "On unique range sets of meromorphic functions in $\mathbb {C}^m$." Archivum Mathematicum 043.3 (2007): 185-195. <http://eudml.org/doc/250158>.

@article{Bai2007,

abstract = {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 $5\le c_3(\mathcal \{M\}(\mathbb \{C\}^m))\le 6$.},

author = {Bai, Xiao-Tian, Han, Qi},

journal = {Archivum Mathematicum},

keywords = {entire (holomorphic) functions; meromorphic functions; unique range sets; linearly (in)dependent; entire (holomorphic) functions; meromorphic functions; unique range sets; linearly (in)dependent},

language = {eng},

number = {3},

pages = {185-195},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On unique range sets of meromorphic functions in $\mathbb \{C\}^m$},

url = {http://eudml.org/doc/250158},

volume = {043},

year = {2007},

}

TY - JOUR

AU - Bai, Xiao-Tian

AU - Han, Qi

TI - On unique range sets of meromorphic functions in $\mathbb {C}^m$

JO - Archivum Mathematicum

PY - 2007

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 043

IS - 3

SP - 185

EP - 195

AB - 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 $5\le c_3(\mathcal {M}(\mathbb {C}^m))\le 6$.

LA - eng

KW - entire (holomorphic) functions; meromorphic functions; unique range sets; linearly (in)dependent; entire (holomorphic) functions; meromorphic functions; unique range sets; linearly (in)dependent

UR - http://eudml.org/doc/250158

ER -

## References

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