DLMF:18.5.E6 (Q5514)

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DLMF:18.5.E6
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    test
    L n ( α ) ⁡ ( 1 x ) = ( - 1 ) n n ! ⁢ x n + α + 1 ⁢ e 1 / x ⁢ d n d x n ⁡ ( x - α - 1 ⁢ e - 1 / x ) . Laguerre-polynomial-L 𝛼 𝑛 1 𝑥 superscript 1 𝑛 𝑛 superscript 𝑥 𝑛 𝛼 1 superscript 𝑒 1 𝑥 derivative 𝑥 𝑛 superscript 𝑥 𝛼 1 superscript 𝑒 1 𝑥 {\displaystyle{\displaystyle L^{(\alpha)}_{n}\left(\frac{1}{x}\right)=\frac{(-% 1)^{n}}{n!}x^{n+\alpha+1}e^{\ifrac{1}{x}}\frac{{\mathrm{d}}^{n}}{{\mathrm{d}x}% ^{n}}\left(x^{-\alpha-1}e^{-\ifrac{1}{x}}\right).}}
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    DLMF:18.5.E6
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