Formula:KLS:09.14:04

<< Formula:KLS:09.14:03

formula in Charlier

Formula:KLS:09.14:05 >>

${\displaystyle{\displaystyle{\displaystyle x{\widehat{C}}_{n}\!\left(x\right)={\widehat{C}}_{n+1}\!\left(x\right)+(n+a){\widehat{C}}_{n}\!\left(x\right)+na{\widehat{C}}_{n-1}\!\left(x\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{C}}_{n}}}}$ : monic Charlier polynomial : http://drmf.wmflabs.org/wiki/Definition:monicCharlier

Bibliography

Equation in Section 9.14 of KLS.

URL links

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<< Formula:KLS:09.14:03

formula in Charlier

Formula:KLS:09.14:05 >>