Formula:KLS:09.10:19

<< Formula:KLS:09.10:18

formula in Meixner

Formula:KLS:09.10:20 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{\beta\rightarrow\infty}M_{n}\!\left(x;\beta,(a+\beta)^{-1}a\right)=C_{n}\!\left(x;a\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle M_{n}}}}$ : Meixner polynomial : http://dlmf.nist.gov/18.19#T1.t1.r9
${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$ : Charlier polynomial : http://dlmf.nist.gov/18.19#T1.t1.r11

Bibliography

Equation in Section 9.10 of KLS.

URL links

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