DLMF:10.22.E37 (Q3411)

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DLMF:10.22.E37
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    test
    ∫ 0 1 t ⁢ J ν ⁡ ( j ν , ℓ ⁢ t ) ⁢ J ν ⁡ ( j ν , m ⁢ t ) ⁢ d t = 1 2 ⁢ ( J ν ′ ⁡ ( j ν , ℓ ) ) 2 ⁢ δ ℓ , m , superscript subscript 0 1 𝑡 Bessel-J 𝜈 subscript 𝑗 𝜈 ℓ 𝑡 Bessel-J 𝜈 subscript 𝑗 𝜈 𝑚 𝑡 𝑡 1 2 superscript diffop Bessel-J 𝜈 1 subscript 𝑗 𝜈 ℓ 2 Kronecker ℓ 𝑚 {\displaystyle{\displaystyle\int_{0}^{1}tJ_{\nu}\left(j_{\nu,\ell}t\right)J_{% \nu}\left(j_{\nu,m}t\right)\mathrm{d}t=\tfrac{1}{2}\left(J_{\nu}'\left(j_{\nu,% \ell}\right)\right)^{2}\delta_{\ell,m},}}
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    DLMF id
    DLMF:10.22.E37
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