Entire functions that share one value with one or two of their derivatives (Q1269593)
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scientific article; zbMATH DE number 1215664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Entire functions that share one value with one or two of their derivatives |
scientific article; zbMATH DE number 1215664 |
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Entire functions that share one value with one or two of their derivatives (English)
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4 May 1999
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The authors prove that if a nonconstant entire function of finite order \(f\) share one value a CM with its first derivative \(f'\), then \((f'-a)\equiv c(f-a)\) for some constant \(c(\neq 0)\) this provides a partial answer to a conejcture due to \textit{R. Brück} [Result. Math. 30, No. 1-2, 21-24 (1996; Zbl 0861.30032)].
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sequences
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finite order
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CM
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IM
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