DLMF:10.43.E30 (Q3644)

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DLMF:10.43.E30
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    Statements

    Defining formula
    f ⁢ ( y ) = 2 ⁢ y π 2 ⁢ sinh ⁡ ( π ⁢ y ) ⁢ ∫ 0 ∞ g ⁢ ( x ) x ⁢ K i ⁢ y ⁡ ( x ) ⁢ d x . 𝑓 𝑦 2 𝑦 superscript 𝜋 2 𝜋 𝑦 superscript subscript 0 𝑔 𝑥 𝑥 modified-Bessel-second-kind 𝑖 𝑦 𝑥 𝑥 {\displaystyle{\displaystyle f(y)=\frac{2y}{\pi^{2}}\sinh\left(\pi y\right)% \int_{0}^{\infty}\frac{g(x)}{x}K_{iy}\left(x\right)\mathrm{d}x.}}
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    DLMF id
    DLMF:10.43.E30
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