Formula:KLS:14.23:10

<< Formula:KLS:14.23:08

formula in q-Charlier

Formula:KLS:14.23:11 >>

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

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

Bibliography

Equation in Section 14.23 of KLS.

URL links

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<< Formula:KLS:14.23:08

formula in q-Charlier

Formula:KLS:14.23:11 >>