On a class of definite integrals containing hyperbolic functions. (Q1514295)
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scientific article; zbMATH DE number 2668092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a class of definite integrals containing hyperbolic functions. |
scientific article; zbMATH DE number 2668092 |
Statements
On a class of definite integrals containing hyperbolic functions. (English)
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1899
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Auswertung mittels Randintegration der Integrale von der Form \[ \int_{-\infty}^\infty \frac{e^{(\alpha+i\beta)x}}{ae^x+b+ce^{- x}}R(x)dx\qquad(a=\pm c), \] worin \(R(x)\) eine rationale Function ist und die Constanten so gewählt sind, dass das Integral oder sein Hauptwert endlich bleibt.
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