DLMF:18.18.E19 (Q5809)

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DLMF:18.18.E19
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    x n = ( α + 1 ) n = 0 n ( - n ) ( α + 1 ) L ( α ) ( x ) . superscript 𝑥 𝑛 Pochhammer 𝛼 1 𝑛 superscript subscript 0 𝑛 Pochhammer 𝑛 Pochhammer 𝛼 1 Laguerre-polynomial-L 𝛼 𝑥 {\displaystyle{\displaystyle x^{n}={\left(\alpha+1\right)_{n}}\sum_{\ell=0}^{n% }\frac{{\left(-n\right)_{\ell}}}{{\left(\alpha+1\right)_{\ell}}}L^{(\alpha)}_{% \ell}\left(x\right).}}
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