DLMF:10.61#Ex10 (Q3803)

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DLMF:10.61#Ex10
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    bei 1 2 ⁡ ( x ⁢ 2 ) = 2 - 3 4 π ⁢ x ⁢ ( e x ⁢ sin ⁡ ( x + π 8 ) + e - x ⁢ sin ⁡ ( x - π 8 ) ) . Kelvin-bei 1 2 𝑥 2 superscript 2 3 4 𝜋 𝑥 superscript 𝑒 𝑥 𝑥 𝜋 8 superscript 𝑒 𝑥 𝑥 𝜋 8 {\displaystyle{\displaystyle\operatorname{bei}_{\frac{1}{2}}\left(x\sqrt{2}% \right)=\frac{2^{-\frac{3}{4}}}{\sqrt{\pi x}}\left(e^{x}\sin\left(x+\frac{\pi}% {8}\right)+\,e^{-x}\sin\left(x-\frac{\pi}{8}\right)\right).}}
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    DLMF:10.61#Ex10
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