Formula:KLS:14.24:10

<< Formula:KLS:14.24:09

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:11 >>

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

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.

URL links

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<< Formula:KLS:14.24:09

formula in Al-Salam-Carlitz I

Formula:KLS:14.24:11 >>