DLMF:2.5.E33 (Q809)

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DLMF:2.5.E33
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    Statements

    test
    I j ⁢ k ⁢ ( x ) = 1 2 ⁢ π ⁢ i ⁢ ∫ p j ⁢ k - i ⁢ ∞ p j ⁢ k + i ⁢ ∞ x - z ⁢ G j ⁢ k ⁢ ( z ) ⁢ d z . subscript 𝐼 𝑗 𝑘 𝑥 1 2 𝜋 𝑖 superscript subscript subscript 𝑝 𝑗 𝑘 𝑖 subscript 𝑝 𝑗 𝑘 𝑖 superscript 𝑥 𝑧 subscript 𝐺 𝑗 𝑘 𝑧 𝑧 {\displaystyle{\displaystyle I_{jk}(x)=\frac{1}{2\pi i}\int_{p_{jk}-i\infty}^{% p_{jk}+i\infty}x^{-z}G_{jk}(z)\mathrm{d}z.}}
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    DLMF id
    DLMF:2.5.E33
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2afdec
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