Some results for the meromorphic functions that share four values (Q2713537)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results for the meromorphic functions that share four values |
scientific article |
Statements
29 November 2001
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share value
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unicity theorem
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meromorphic functions
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Some results for the meromorphic functions that share four values (English)
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The paper studies problems of the uniqueness of meromorphic functions that share four values IM. For example, for entire functions, the author has: If two non-constant entire functions \(f\), \(g\) share three finite complex numbers \(a_1, a_2, a_3\) IM and \(\sum^3_{j=1}(N_{(2,1)}(r,a_j)+N_{(1,2)}(r,a_j))\leq \mu T(r,f)+S(r,f)\), where \(\mu>12/7\), then \(f\equiv g\).
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