Formula:KLS:14.24:08

<< Formula:KLS:14.24:06

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:09 >>

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

Proof

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Symbols List

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

Bibliography

Equation in Section 14.24 of KLS.

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<< Formula:KLS:14.24:06

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:09 >>