Formula:KLS:14.26:06

<< Formula:KLS:14.26:05

formula in Continuous q-Hermite

Formula:KLS:14.26:07 >>

${\displaystyle{\displaystyle{\displaystyle x{\widehat{H}}_{n}\!\left(x\right)={\widehat{H}}_{n+1}\!\left(x\right)+\frac{1}{4}(1-q^{n}){\widehat{H}}_{n-1}\!\left(x\right)}}}$

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

${\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}}}}$ : monic continuous ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsqHermite

Bibliography

Equation in Section 14.26 of KLS.

URL links

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

<< Formula:KLS:14.26:05

formula in Continuous q-Hermite

Formula:KLS:14.26:07 >>