Formula:KLS:14.13:11

<< Formula:KLS:14.13:07

formula in q-Meixner

Formula:KLS:14.13:12 >>

${\displaystyle{\displaystyle{\displaystyle M_{n}\!\left(q^{-x-1};b,c;q\right)-M_{n}\!\left(q^{-x};b,c;q\right){}=-\frac{q^{-x}(1-q^{n})}{c(1-bq)}M_{n-1}\!\left(q^{-x};bq,cq^{-1};q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle M_{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-Meixner polynomial : http://drmf.wmflabs.org/wiki/Definition:qMeixner

Bibliography

Equation in Section 14.13 of KLS.

URL links

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formula in q-Meixner

Formula:KLS:14.13:12 >>