DLMF:18.17.E2 (Q5743)

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DLMF:18.17.E2
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    test
    ∫ 0 x L m ⁡ ( y ) ⁢ L n ⁡ ( x - y ) ⁢ d y = ∫ 0 x L m + n ⁡ ( y ) ⁢ d y = L m + n ⁡ ( x ) - L m + n + 1 ⁡ ( x ) . superscript subscript 0 𝑥 shorthand-Laguerre-polynomial-L 𝑚 𝑦 shorthand-Laguerre-polynomial-L 𝑛 𝑥 𝑦 𝑦 superscript subscript 0 𝑥 shorthand-Laguerre-polynomial-L 𝑚 𝑛 𝑦 𝑦 shorthand-Laguerre-polynomial-L 𝑚 𝑛 𝑥 shorthand-Laguerre-polynomial-L 𝑚 𝑛 1 𝑥 {\displaystyle{\displaystyle\int_{0}^{x}L_{m}\left(y\right)L_{n}\left(x-y% \right)\mathrm{d}y=\int_{0}^{x}L_{m+n}\left(y\right)\mathrm{d}y=L_{m+n}\left(x% \right)-L_{m+n+1}\left(x\right).}}
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    DLMF id
    DLMF:18.17.E2
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