DLMF:10.64.E2 (Q3830)

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DLMF:10.64.E2
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    bei n ( x 2 ) = ( - 1 ) n π 0 π sin ( x sin t - n t ) sinh ( x sin t ) d t . Kelvin-bei 𝑛 𝑥 2 superscript 1 𝑛 𝜋 superscript subscript 0 𝜋 𝑥 𝑡 𝑛 𝑡 𝑥 𝑡 𝑡 {\displaystyle{\displaystyle\operatorname{bei}_{n}\left(x\sqrt{2}\right)=\frac% {(-1)^{n}}{\pi}\int_{0}^{\pi}\sin\left(x\sin t-nt\right)\sinh\left(x\sin t% \right)\mathrm{d}t.}}
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