Unique range sets for holomorphic curves. (Q1396086)
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scientific article; zbMATH DE number 1941859
| Language | Label | Description | Also known as |
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| English | Unique range sets for holomorphic curves. |
scientific article; zbMATH DE number 1941859 |
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Unique range sets for holomorphic curves. (English)
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19 February 2004
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The author gives some unicity theorems for holomorphic curves from \(\mathbb C\) into complex projective spaces. By making use of the second main theorem due to Nochka-Chen, he deals with holomorphic curves that may be linearly degenerate. The main result in this paper can be regarded as a generalization of a unicity theorem for meromorphic functions on \(\mathbb C\) obtained by \textit{H. S. Gopalakrishna} and \textit{S. S. Bhoosnurmath} [Math. Scand. 39, 125--130 (1976; Zbl 0341.30023)]. We note that the unicity theorem, similar to the result in this paper, was already obtained [cf. the reviewer, Complex Var. Theory Appl. 42, 259--268 (2000; Zbl 1026.32039)].
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