DLMF:18.23.E5 (Q5906)

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DLMF:18.23.E5
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    e z ( 1 - z a ) x = n = 0 C n ( x ; a ) n ! z n , superscript 𝑒 𝑧 superscript 1 𝑧 𝑎 𝑥 superscript subscript 𝑛 0 Charlier-polynomial-C 𝑛 𝑥 𝑎 𝑛 superscript 𝑧 𝑛 {\displaystyle{\displaystyle e^{z}\left(1-\frac{z}{a}\right)^{x}=\sum_{n=0}^{% \infty}\frac{C_{n}\left(x;a\right)}{n!}z^{n},}}
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