Formula:KLS:14.25:08

<< Formula:KLS:14.25:06

formula in Al-Salam-Carlitz II

Formula:KLS:14.25:09 >>

${\displaystyle{\displaystyle{\displaystyle V^{(a)}_{n}\!\left(x;q\right)-V^{(a)}_{n}\!\left(qx;q\right)=q^{-n+1}(1-q^{n})xV^{(a)}_{n-1}\!\left(qx;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle V^{(n)}_{\alpha}}}}$ : Al-Salam-Carlitz II polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamCarlitzII

Bibliography

Equation in Section 14.25 of KLS.

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<< Formula:KLS:14.25:06

formula in Al-Salam-Carlitz II

Formula:KLS:14.25:09 >>