DLMF:18.7.E20 (Q5588)

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DLMF:18.7.E20
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    test
    H 2 ⁢ n + 1 ⁡ ( x ) = ( - 1 ) n ⁢ 2 2 ⁢ n + 1 ⁢ n ! ⁢ x ⁢ L n ( 1 2 ) ⁡ ( x 2 ) . Hermite-polynomial-H 2 𝑛 1 𝑥 superscript 1 𝑛 superscript 2 2 𝑛 1 𝑛 𝑥 Laguerre-polynomial-L 1 2 𝑛 superscript 𝑥 2 {\displaystyle{\displaystyle H_{2n+1}\left(x\right)=(-1)^{n}2^{2n+1}n!\,xL^{(% \frac{1}{2})}_{n}\left(x^{2}\right).}}
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    DLMF:18.7.E20
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