Formula:KLS:09.14:16

<< Formula:KLS:09.14:15

formula in Charlier

Charlier >>

${\displaystyle{\displaystyle{\displaystyle\frac{(-a)^{n}}{n!}C_{n}\!\left(x;a\right)=L^{x-n}_{n}\left(a\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$ : Charlier polynomial : http://dlmf.nist.gov/18.19#T1.t1.r11
${\displaystyle{\displaystyle{\displaystyle L_{n}^{(\alpha)}}}}$ : Laguerre (or generalized Laguerre) polynomial : http://dlmf.nist.gov/18.3#T1.t1.r27

Bibliography

Equation in Section 9.14 of KLS.

URL links

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<< Formula:KLS:09.14:15

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