Formula:KLS:14.13:13

<< Formula:KLS:14.13:12

formula in q-Meixner

q-Meixner >>

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

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.

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