DLMF:10.61.E11 (Q3806)

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DLMF:10.61.E11
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    Defining formula
    ker 1 2 ⁡ ( x ⁢ 2 ) = kei - 1 2 ⁡ ( x ⁢ 2 ) = - 2 - 3 4 ⁢ π x ⁢ e - x ⁢ sin ⁡ ( x - π 8 ) , Kelvin-ker 1 2 𝑥 2 Kelvin-kei 1 2 𝑥 2 superscript 2 3 4 𝜋 𝑥 superscript 𝑒 𝑥 𝑥 𝜋 8 {\displaystyle{\displaystyle\operatorname{ker}_{\frac{1}{2}}\left(x\sqrt{2}% \right)=\operatorname{kei}_{-\frac{1}{2}}\left(x\sqrt{2}\right)=-2^{-\frac{3}{% 4}}\sqrt{\frac{\pi}{x}}e^{-x}\sin\left(x-\frac{\pi}{8}\right),}}
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    DLMF id
    DLMF:10.61.E11
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