DLMF:2.5.E14 (Q790)

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DLMF:2.5.E14
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    test
    | Γ ⁡ ( x + i ⁢ y ) | = 2 ⁢ π ⁢ e - π ⁢ | y | / 2 ⁢ | y | x - ( 1 / 2 ) ⁢ ( 1 + o ⁡ ( 1 ) ) , Euler-Gamma 𝑥 𝑖 𝑦 2 𝜋 superscript 𝑒 𝜋 𝑦 2 superscript 𝑦 𝑥 1 2 1 little-o 1 {\displaystyle{\displaystyle|\Gamma\left(x+iy\right)|=\sqrt{2\pi}e^{-\pi|y|/2}% |y|^{x-(1/2)}\left(1+o\left(1\right)\right),}}
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    DLMF id
    DLMF:2.5.E14
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