Formula:KLS:14.26:05

<< Formula:KLS:14.26:02

formula in Continuous q-Hermite

Formula:KLS:14.26:06 >>

${\displaystyle{\displaystyle{\displaystyle 2xH_{n}\!\left(x\,|\,q\right)=H_{n+1}\!\left(x\,|\,q\right)+(1-q^{n})H_{n-1}\!\left(x\,|\,q\right)}}}$

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

${\displaystyle{\displaystyle{\displaystyle H_{n}}}}$ : continuous ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsqHermite

Bibliography

Equation in Section 14.26 of KLS.

URL links

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

<< Formula:KLS:14.26:02

formula in Continuous q-Hermite

Formula:KLS:14.26:06 >>