A definite integral. (Q2590812)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A definite integral. |
scientific article |
Statements
A definite integral. (English)
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1939
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Für das Integral \[ K(r)=\int\limits _0^1 (\log u)^r\biggl(\log \dfrac{1+u}{1-u}\biggr)^{n-r}\dfrac{du}{u} \] (\(r\) und \(n - r - 1\) nichtnegative ganze Zahlen) wird \[ (r + 1) K (r) = (- 1)^{n-1} (n - r) K (n - r - 1) \] nachgewiesen.
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