DLMF:10.22.E32 (Q3406)

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DLMF:10.22.E32
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    Statements

    Defining formula
    ∫ 0 x J ν ⁡ ( t ) ⁢ J 1 - ν ⁡ ( x - t ) ⁢ d t = J 0 ⁡ ( x ) - cos ⁡ x , superscript subscript 0 𝑥 Bessel-J 𝜈 𝑡 Bessel-J 1 𝜈 𝑥 𝑡 𝑡 Bessel-J 0 𝑥 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}J_{\nu}\left(t\right)J_{1-\nu}\left(x-% t\right)\mathrm{d}t=J_{0}\left(x\right)-\cos x,}}
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    DLMF id
    DLMF:10.22.E32
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    constraint
    - 1 < ℜ ⁡ ν < 2 1 𝜈 2 {\displaystyle{\displaystyle-1<\Re\nu<2}}
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