Formula:KLS:14.20:09

<< Formula:KLS:14.20:08

formula in Little q-Laguerre / Wall

Formula:KLS:14.20:11 >>

${\displaystyle{\displaystyle{\displaystyle-q^{-n}(1-q^{n})xy(x)=ay(qx)+(x-a-1)y(x)+(1-x)y(q^{-1}x)}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle y(x)=p_{n}\!\left(x;a;q\right)}}}$

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:14.20:08

formula in Little q-Laguerre / Wall

Formula:KLS:14.20:11 >>