DLMF:10.22.E47 (Q3421)

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DLMF:10.22.E47
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    Statements

    test
    ∫ 0 ∞ t ν ⁢ Y ν ⁡ ( a ⁢ t ) t 2 + b 2 ⁢ d t = - b ν - 1 ⁢ K ν ⁡ ( a ⁢ b ) , superscript subscript 0 superscript 𝑡 𝜈 Bessel-Y-Weber 𝜈 𝑎 𝑡 superscript 𝑡 2 superscript 𝑏 2 𝑡 superscript 𝑏 𝜈 1 modified-Bessel-second-kind 𝜈 𝑎 𝑏 {\displaystyle{\displaystyle\int_{0}^{\infty}\frac{t^{\nu}Y_{\nu}\left(at% \right)}{t^{2}+b^{2}}\mathrm{d}t=-b^{\nu-1}K_{\nu}\left(ab\right),}}
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    DLMF id
    DLMF:10.22.E47
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