On the equation \(x^y=y^x\) (Q1589793)
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scientific article; zbMATH DE number 1542559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the equation \(x^y=y^x\) |
scientific article; zbMATH DE number 1542559 |
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On the equation \(x^y=y^x\) (English)
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12 December 2000
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The authors determine the real integral and rational solutions of the equation \(x^y= y^x\) \((x,y> 0)\). In particular, it is shown that the point \((e,e)\in\mathbb R^2\) is the unique accumulation point of the nontrivial rational solutions \((x,y)\) of the equation in question.
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power
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exponential
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