DLMF:18.7.E19 (Q5587)

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DLMF:18.7.E19
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    H 2 n ( x ) = ( - 1 ) n 2 2 n n ! L n ( - 1 2 ) ( x 2 ) , Hermite-polynomial-H 2 𝑛 𝑥 superscript 1 𝑛 superscript 2 2 𝑛 𝑛 Laguerre-polynomial-L 1 2 𝑛 superscript 𝑥 2 {\displaystyle{\displaystyle H_{2n}\left(x\right)=(-1)^{n}2^{2n}n!L^{(-\frac{1% }{2})}_{n}\left(x^{2}\right),}}
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