DLMF:10.22.E28 (Q3402)

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DLMF:10.22.E28
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    0 x t ( J ν - 1 2 ( t ) - J ν + 1 2 ( t ) ) d t = 2 ν J ν 2 ( x ) , superscript subscript 0 𝑥 𝑡 Bessel-J 𝜈 1 2 𝑡 Bessel-J 𝜈 1 2 𝑡 𝑡 2 𝜈 Bessel-J 𝜈 2 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}t\left({J_{\nu-1}^{2}}\left(t\right)-{% J_{\nu+1}^{2}}\left(t\right)\right)\mathrm{d}t=2\nu{J_{\nu}^{2}}\left(x\right)% ,}}
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