DLMF:18.17.E15 (Q5756)

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DLMF:18.17.E15
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    test
    e - x ⁢ L n ( α ) ⁡ ( x ) = ∫ x ∞ e - y ⁢ L n ( α + μ ) ⁡ ( y ) ⁢ ( y - x ) μ - 1 Γ ⁡ ( μ ) ⁢ d y , superscript 𝑒 𝑥 Laguerre-polynomial-L 𝛼 𝑛 𝑥 superscript subscript 𝑥 superscript 𝑒 𝑦 Laguerre-polynomial-L 𝛼 𝜇 𝑛 𝑦 superscript 𝑦 𝑥 𝜇 1 Euler-Gamma 𝜇 𝑦 {\displaystyle{\displaystyle e^{-x}L^{(\alpha)}_{n}\left(x\right)=\int_{x}^{% \infty}e^{-y}L^{(\alpha+\mu)}_{n}\left(y\right)\frac{(y-x)^{\mu-1}}{\Gamma% \left(\mu\right)}\mathrm{d}y,}}
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    DLMF id
    DLMF:18.17.E15
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