Formula:KLS:14.24:17

<< Formula:KLS:14.24:16

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:18 >>

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

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
${\displaystyle{\displaystyle{\displaystyle h_{n}}}}$ : discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite I polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteI

Bibliography

Equation in Section 14.24 of KLS.

URL links

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<< Formula:KLS:14.24:16

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:18 >>