Formula:KLS:09.14:01

<< Bessel

formula in Charlier

Formula:KLS:09.14:02 >>

${\displaystyle{\displaystyle{\displaystyle C_{n}\!\left(x;a\right)=\HyperpFq{2}{0}@@{-n,-x}{-}{-\frac{1}{a}}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$ : Charlier polynomial : http://dlmf.nist.gov/18.19#T1.t1.r11
${\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}$ : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1

Bibliography

Equation in Section 9.14 of KLS.

URL links

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<< Bessel

formula in Charlier

Formula:KLS:09.14:02 >>