DLMF:3.6.E12 (Q1317)

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DLMF:3.6.E12
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    J n ( 1 ) 1 ( 2 π n ) 1 / 2 ( e 2 n ) n , asymptotically-equals Bessel-J 𝑛 1 1 superscript 2 𝑛 1 2 superscript 𝑒 2 𝑛 𝑛 {\displaystyle{\displaystyle J_{n}\left(1\right)\sim\frac{1}{(2\pi n)^{1/2}}% \left(\frac{e}{2n}\right)^{n},}}
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