DLMF:10.43.E20 (Q3634)

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DLMF:10.43.E20
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    Statements

    test
    ∫ 0 ∞ cos ⁡ ( a ⁢ t ) ⁢ K 0 ⁡ ( t ) ⁢ d t = π 2 ⁢ ( 1 + a 2 ) 1 2 , superscript subscript 0 𝑎 𝑡 modified-Bessel-second-kind 0 𝑡 𝑡 𝜋 2 superscript 1 superscript 𝑎 2 1 2 {\displaystyle{\displaystyle\int_{0}^{\infty}\cos\left(at\right)K_{0}\left(t% \right)\mathrm{d}t=\frac{\pi}{2(1+a^{2})^{\frac{1}{2}}},}}
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    DLMF id
    DLMF:10.43.E20
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    constraint
    | ℑ ⁡ a | < 1 𝑎 1 {\displaystyle{\displaystyle|\Im a|<1}}
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