DLMF:18.10.E7 (Q5631)

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DLMF:18.10.E7
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    test
    H n ⁡ ( x ) = 2 n π 1 2 ⁢ ∫ - ∞ ∞ ( x + i ⁢ t ) n ⁢ e - t 2 ⁢ d t . Hermite-polynomial-H 𝑛 𝑥 superscript 2 𝑛 superscript 𝜋 1 2 superscript subscript superscript 𝑥 𝑖 𝑡 𝑛 superscript 𝑒 superscript 𝑡 2 𝑡 {\displaystyle{\displaystyle H_{n}\left(x\right)=\frac{2^{n}}{\pi^{\frac{1}{2}% }}\int_{-\infty}^{\infty}(x+it)^{n}e^{-t^{2}}\mathrm{d}t.}}
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    DLMF:18.10.E7
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