Five-value rich lines, Borel directions and uniqueness of meromorphic functions
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Abstract:
For a meromorphic function $f$ in the complex plane, we shall introduce the definition of five-value rich line of $f$, and study the uniqueness of meromorphic functions of finite order in an angular domain by involving the five-value rich line and Borel directions. Finally, the relationship between a five-value rich line and a Borel direction is discussed, that is, every Borel direction of $f$ is its five-value rich line, and the inverse statement holds when $f$ is of infinite order.
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Journal title
volume 43 issue 5
pages 1467- 1478
publication date 2017-10-31
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