DLMF:2.5.E40 (Q816)

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DLMF:2.5.E40
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    test
    I j ⁢ ( x ) = 1 2 ⁢ π ⁢ i ⁢ ∫ p j - i ⁢ ∞ p j + i ⁢ ∞ x - z ⁢ Γ ⁡ ( 1 - z ) ⁢ ℳ ⁡ h j ⁡ ( z ) ⁢ d z , subscript 𝐼 𝑗 𝑥 1 2 𝜋 𝑖 superscript subscript subscript 𝑝 𝑗 𝑖 subscript 𝑝 𝑗 𝑖 superscript 𝑥 𝑧 Euler-Gamma 1 𝑧 Mellin-transform subscript ℎ 𝑗 𝑧 𝑧 {\displaystyle{\displaystyle I_{j}(x)=\frac{1}{2\pi i}\int_{p_{j}-i\infty}^{p_% {j}+i\infty}x^{-z}\Gamma\left(1-z\right)\mathscr{M}\mskip-3.0mu h_{j}\mskip 3.% 0mu \left(z\right)\mathrm{d}z,}}
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    DLMF id
    DLMF:2.5.E40
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