Formula:KLS:14.19:28

<< Formula:KLS:14.19:27

formula in Continuous q-Laguerre

Formula:KLS:14.19:29 >>

${\displaystyle{\displaystyle{\displaystyle\lim_{q\rightarrow 1}\ctsqLaguerre{\alpha}{n}@{q^{x}}{q}=\Laguerre[\alpha]{n}@{2x}}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle P^{(n)}_{\alpha}}}}$ : continuous ${\displaystyle{\displaystyle{\displaystyle q}}}$-Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsqLaguerre
${\displaystyle{\displaystyle{\displaystyle L_{n}^{(\alpha)}}}}$ : Laguerre (or generalized Laguerre) polynomial : http://dlmf.nist.gov/18.3#T1.t1.r27

Bibliography

Equation in Section 14.19 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:14.19:27

formula in Continuous q-Laguerre

Formula:KLS:14.19:29 >>