A theorem on infinite products. (Q1450162)
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scientific article; zbMATH DE number 2586095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A theorem on infinite products. |
scientific article; zbMATH DE number 2586095 |
Statements
A theorem on infinite products. (English)
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1926
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Es wird bewiesen: Ist \[ f(x)=\prod_{n=1}^{\infty}\left(1+\frac{x^2}{a_n^2}\right)\qquad (0<a_1\leqq a_2\cdots) \] und \(\log f(x)\sim \lambda x\) (\(\lambda\neq 0\)), so ist \(a_n\sim \dfrac{\pi n}{\lambda}\).
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