Unicity theory of entire functions that share one value IM (Q614275)
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scientific article; zbMATH DE number 5829559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unicity theory of entire functions that share one value IM |
scientific article; zbMATH DE number 5829559 |
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Unicity theory of entire functions that share one value IM (English)
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27 December 2010
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The author investigates the situation when for two entire functions \(f\) and \(g\) the differential polynomials \(\big[f^{n}(\mu f^{m} + \lambda)\big]^{(k)}\) and \(\big[g^{n}(\mu g^{m} + \lambda )\big]^{(k)}\) share the value \(1\) ignoring multiplicities. The proof relies on standard methods from Nevanlinna theory.
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meromorphic function
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uniqueness
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differential polynomial
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0.95397365
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0.9246669
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0.92199725
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0.9169394
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