DLMF:18.18.E38 (Q5828)

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DLMF:18.18.E38
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    test
    ∑ ℓ = 0 n L ℓ ( α ) ⁡ ( x ) ⁢ L n - ℓ ( β ) ⁡ ( y ) = L n ( α + β + 1 ) ⁡ ( x + y ) . superscript subscript ℓ 0 𝑛 Laguerre-polynomial-L 𝛼 ℓ 𝑥 Laguerre-polynomial-L 𝛽 𝑛 ℓ 𝑦 Laguerre-polynomial-L 𝛼 𝛽 1 𝑛 𝑥 𝑦 {\displaystyle{\displaystyle\sum_{\ell=0}^{n}L^{(\alpha)}_{\ell}\left(x\right)% L^{(\beta)}_{n-\ell}\left(y\right)=L^{(\alpha+\beta+1)}_{n}\left(x+y\right).}}
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    DLMF id
    DLMF:18.18.E38
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