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Unicity theory of entire functions that share one value IM - MaRDI portal

Unicity theory of entire functions that share one value IM (Q614275)

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scientific article; zbMATH DE number 5829559
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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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