Formula:KLS:09.10:12

<< Formula:KLS:09.10:11

formula in Meixner

Formula:KLS:09.10:13 >>

${\displaystyle{\displaystyle{\displaystyle\frac{{\left(\beta\right)_{x}}c^{x}}{x!}M_{n}\!\left(x;\beta,c\right)=\nabla^{n}\left[\frac{{\left(\beta+n\right)_{x}}c^{x}}{x!}\right]}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
${\displaystyle{\displaystyle{\displaystyle M_{n}}}}$ : Meixner polynomial : http://dlmf.nist.gov/18.19#T1.t1.r9

Bibliography

Equation in Section 9.10 of KLS.

URL links

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<< Formula:KLS:09.10:11

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Formula:KLS:09.10:13 >>