DLMF:18.17.E4 (Q5745)

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DLMF:18.17.E4
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    test
    ∫ 0 x e - y 2 ⁢ H n ⁡ ( y ) ⁢ d y = H n - 1 ⁡ ( 0 ) - e - x 2 ⁢ H n - 1 ⁡ ( x ) . superscript subscript 0 𝑥 superscript 𝑒 superscript 𝑦 2 Hermite-polynomial-H 𝑛 𝑦 𝑦 Hermite-polynomial-H 𝑛 1 0 superscript 𝑒 superscript 𝑥 2 Hermite-polynomial-H 𝑛 1 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}e^{-y^{2}}H_{n}\left(y\right)\mathrm{d% }y=H_{n-1}\left(0\right)-e^{-x^{2}}H_{n-1}\left(x\right).}}
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    DLMF id
    DLMF:18.17.E4
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