DLMF:10.22.E31 (Q3405)

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DLMF:10.22.E31
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    test
    ∫ 0 x J μ ⁡ ( t ) ⁢ J ν ⁡ ( x - t ) ⁢ d t = 2 ⁢ ∑ k = 0 ∞ ( - 1 ) k ⁢ J μ + ν + 2 ⁢ k + 1 ⁡ ( x ) , superscript subscript 0 𝑥 Bessel-J 𝜇 𝑡 Bessel-J 𝜈 𝑥 𝑡 𝑡 2 superscript subscript 𝑘 0 superscript 1 𝑘 Bessel-J 𝜇 𝜈 2 𝑘 1 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}J_{\mu}\left(t\right)J_{\nu}\left(x-t% \right)\mathrm{d}t=2\sum_{k=0}^{\infty}(-1)^{k}J_{\mu+\nu+2k+1}\left(x\right),}}
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    DLMF id
    DLMF:10.22.E31
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