DLMF:18.9.E26 (Q5622)

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DLMF:18.9.E26
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    d d x ( e - x 2 H n ( x ) ) = - e - x 2 H n + 1 ( x ) . derivative 𝑥 superscript 𝑒 superscript 𝑥 2 Hermite-polynomial-H 𝑛 𝑥 superscript 𝑒 superscript 𝑥 2 Hermite-polynomial-H 𝑛 1 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}x}\left(e^{-x^{2}}H_{n% }\left(x\right)\right)=-e^{-x^{2}}H_{n+1}\left(x\right).}}
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