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Keywords:
entire (holomorphic) functions; meromorphic functions; unique range sets; linearly (in)dependent
entire (holomorphic) functions; meromorphic functions; unique range sets; linearly (in)dependent
Summary:
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 $5\le c_3(\mathcal {M}(\mathbb {C}^m))\le 6$.
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