DLMF:1.17.E10 (Q669)

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DLMF:1.17.E10
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    test
    1 2 ⁢ π ⁢ ∫ - ∞ ∞ e - t 2 / ( 4 ⁢ n ) ⁢ e i ⁢ ( x - a ) ⁢ t ⁢ d t = n π ⁢ e - n ⁢ ( x - a ) 2 . 1 2 𝜋 superscript subscript superscript 𝑒 superscript 𝑡 2 4 𝑛 superscript 𝑒 𝑖 𝑥 𝑎 𝑡 𝑡 𝑛 𝜋 superscript 𝑒 𝑛 superscript 𝑥 𝑎 2 {\displaystyle{\displaystyle\frac{1}{2\pi}\int_{-\infty}^{\infty}e^{-t^{2}/(4n% )}e^{i(x-a)t}\mathrm{d}t=\sqrt{\frac{n}{\pi}}e^{-n(x-a)^{2}}.}}
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    DLMF id
    DLMF:1.17.E10
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