Formula:KLS:14.28:19

<< Formula:KLS:14.28:18

formula in Discrete q-Hermite I

Formula:KLS:14.29:01 >>

${\displaystyle{\displaystyle{\displaystyle h_{n}\!\left(\mathrm{i}x;q^{-1}\right)={\mathrm{i}^{n}}\tilde{h}_{n}\!\left(x;q\right)}}}$

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

${\displaystyle{\displaystyle{\displaystyle h_{n}}}}$ : discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite I polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteI
${\displaystyle{\displaystyle{\displaystyle\mathrm{i}}}}$ : imaginary unit : http://dlmf.nist.gov/1.9.i
${\displaystyle{\displaystyle{\displaystyle\tilde{h}_{n}}}}$ : discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite II polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteII

Bibliography

Equation in Section 14.28 of KLS.

URL links

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

<< Formula:KLS:14.28:18

formula in Discrete q-Hermite I

Formula:KLS:14.29:01 >>