Formula:KLS:14.23:22

<< Formula:KLS:14.23:21

formula in q-Charlier

Formula:KLS:14.23:23 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{q\rightarrow 1}C_{n}\!\left(q^{-x};a(1-q);q\right)=C_{n}\!\left(x;a\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Charlier polynomial : http://drmf.wmflabs.org/wiki/Definition:qCharlier
${\displaystyle{\displaystyle{\displaystyle C_{n}}}}$ : Charlier polynomial : http://dlmf.nist.gov/18.19#T1.t1.r11

Bibliography

Equation in Section 14.23 of KLS.

URL links

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<< Formula:KLS:14.23:21

formula in q-Charlier

Formula:KLS:14.23:23 >>