DLMF:10.22.E55 (Q3429): Difference between revisions

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DLMF:10.22.E55
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    Defining formula
    ∫ 0 ∞ t - 1 ⁢ J ν + 2 ⁢ ℓ + 1 ⁡ ( t ) ⁢ J ν + 2 ⁢ m + 1 ⁡ ( t ) ⁢ d t = δ ℓ , m 2 ⁢ ( 2 ⁢ ℓ + ν + 1 ) , superscript subscript 0 superscript 𝑡 1 Bessel-J 𝜈 2 ℓ 1 𝑡 Bessel-J 𝜈 2 𝑚 1 𝑡 𝑡 Kronecker ℓ 𝑚 2 2 ℓ 𝜈 1 {\displaystyle{\displaystyle\int_{0}^{\infty}t^{-1}J_{\nu+2\ell+1}\left(t% \right)J_{\nu+2m+1}\left(t\right)\mathrm{d}t=\frac{\delta_{\ell,m}}{2(2\ell+% \nu+1)},}}
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    DLMF id
    DLMF:10.22.E55
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