A note on some integrals involving Bessel functions. (Q1835425)
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scientific article; zbMATH DE number 2570066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on some integrals involving Bessel functions. |
scientific article; zbMATH DE number 2570066 |
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A note on some integrals involving Bessel functions. (English)
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1929
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Verf. beweist die Formel \[ \int\limits_0^{\infty} J_x(ax) J_{-x}(ax) \cos \pi x \, dx = \frac{1}{4(1-a^2)^{\frac{1}{2}}} \] unter der Voraussetzung \(|a| < 1\), und gibt ohne Beweis zwei weitere Formeln ähnlicher Art an.
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