Formula:KLS:14.11:23

<< Formula:KLS:14.11:22

formula in Big q-Laguerre

Formula:KLS:14.11:24 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{b\rightarrow-\infty}P_{n}\!\left(bqx;a,b;q\right)=p_{n}\!\left(x;a;q\right)}}}$

Proof

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Symbols List

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

Bibliography

Equation in Section 14.11 of KLS.

URL links

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<< Formula:KLS:14.11:22

formula in Big q-Laguerre

Formula:KLS:14.11:24 >>