Formula:KLS:14.19:16

<< Formula:KLS:14.19:15

formula in Continuous q-Laguerre

Formula:KLS:14.19:17 >>

${\displaystyle{\displaystyle{\displaystyle D_{q}P^{(\alpha)}_{n}\!\left(x|q\right)=\frac{2q^{-n+\frac{1}{2}\alpha+\frac{5}{4}}}{1-q}P^{(\alpha+1)}_{n-1}\!\left(x|q\right)}}}$

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

Bibliography

Equation in Section 14.19 of KLS.

URL links

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

<< Formula:KLS:14.19:15

formula in Continuous q-Laguerre

Formula:KLS:14.19:17 >>