DLMF:1.17.E13 (Q672)

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DLMF:1.17.E13
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    Statements

    test
    δ ⁡ ( x - a ) = x ⁢ ∫ 0 ∞ t ⁢ J ν ⁡ ( x ⁢ t ) ⁢ J ν ⁡ ( a ⁢ t ) ⁢ d t , Dirac-delta 𝑥 𝑎 𝑥 superscript subscript 0 𝑡 Bessel-J 𝜈 𝑥 𝑡 Bessel-J 𝜈 𝑎 𝑡 𝑡 {\displaystyle{\displaystyle\delta\left(x-a\right)=x\int_{0}^{\infty}tJ_{\nu}% \left(xt\right)J_{\nu}\left(at\right)\mathrm{d}t,}}
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    DLMF id
    DLMF:1.17.E13
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