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Entire functions that share a small function with its derivative - MaRDI portal

Entire functions that share a small function with its derivative (Q864731)

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scientific article; zbMATH DE number 5124100
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Entire functions that share a small function with its derivative
scientific article; zbMATH DE number 5124100

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    Entire functions that share a small function with its derivative (English)
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    12 February 2007
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    By studing the properties of meromorphic functions which have few zeros and poles, the authors find all the entire functions \(f(z)\) which share a small and finite order meromorphic function \(a(z)\) with its derivative, and \(f^{(n)}(z)-a(z)=0\) wherever \(f(z)-a(z)=0(n)\geq 2\).
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    entire function
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    small function
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    sharing value
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