On pseudo-primality of the \(2n\)-th power of prime entire functions (Q1108407)
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scientific article; zbMATH DE number 4067309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On pseudo-primality of the \(2n\)-th power of prime entire functions |
scientific article; zbMATH DE number 4067309 |
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On pseudo-primality of the \(2n\)-th power of prime entire functions (English)
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1988
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The author proves a number of results on prime entire functions. The most interesting is his Theorem 2: Let \(F(z)\) be a right prime entire function and \(F^{2n}(z)\) is not pseudo-prime for some natural number \(n\). Then there must exist a transcendental entire function \(h(\omega)\) such that \(F(z)=\cos(az+b)h(\sin(az+b))\), \(a\) and \(b\) are constants.
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prime entire functions
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pseudo-primality
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