Formula:KLS:14.20:13

<< Formula:KLS:14.20:12

formula in Little q-Laguerre / Wall

Formula:KLS:14.20:14 >>

${\displaystyle{\displaystyle{\displaystyle ap_{n}\!\left(x;a;q\right)-(1-x)p_{n}\!\left(q^{-1}x;a;q\right)=(a-1)p_{n+1}\!\left(x;q^{-1}a;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle p_{n}}}}$ : little ${\displaystyle{\displaystyle{\displaystyle q}}}$-Laguerre / Wall polynomial : http://drmf.wmflabs.org/wiki/Definition:littleqLaguerre

Bibliography

Equation in Section 14.20 of KLS.

URL links

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<< Formula:KLS:14.20:12

formula in Little q-Laguerre / Wall

Formula:KLS:14.20:14 >>