A note on value distribution of composite entire functions (Q2712531)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on value distribution of composite entire functions |
scientific article |
Statements
20 May 2002
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share value
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entire function
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unicity theorem
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A note on value distribution of composite entire functions (English)
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Suppose that \(f\) is a non-constant entire function and \(L=a_1f' + a_2f''+ \cdots+ a_nf^{(n)}\). (i) If \(f\) and \(f'\) share a finite non-zero value \(a\) IM, and if \(L(z)=L'(z)=a\) when \(f(z)=a\), then \(f=f'=L\). (ii) If \(f\) and \(L\) share a finite non-zero value \(a\) IM, and if \(f'(z)=L'(z)=a\) when \(f(z)=a\), then \(f=f'=L\).
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