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Derivatives of meromorphic functions with multiple zeros and rational functions - MaRDI portal

Derivatives of meromorphic functions with multiple zeros and rational functions (Q934560)

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scientific article; zbMATH DE number 5305550
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Derivatives of meromorphic functions with multiple zeros and rational functions
scientific article; zbMATH DE number 5305550

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    Derivatives of meromorphic functions with multiple zeros and rational functions (English)
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    29 July 2008
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    The main result of this paper is the following Theorem 1. Let \(f\) be a transcendental meromorphic function on the plane, all but finitely many of whose zeros are multiple, and let \(R \not\equiv 0\) be a rational function. Then \(f' - R\) has infinitely many zeros.
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    meromorphic function
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    rational function
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