Formula:KLS:14.29:10

<< Formula:KLS:14.29:09

formula in Discrete q-Hermite II

Formula:KLS:14.29:11 >>

${\displaystyle{\displaystyle{\displaystyle-(1-q^{n})x^{2}\tilde{h}_{n}\!\left(x;q\right){}=(1+x^{2})\tilde{h}_{n}\!\left(qx;q\right)-(1+x^{2}+q)\tilde{h}_{n}\!\left(x;q\right)+q\tilde{h}_{n}\!\left(q^{-1}x;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\tilde{h}_{n}}}}$ : discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite II polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteII

Bibliography

Equation in Section 14.29 of KLS.

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<< Formula:KLS:14.29:09

formula in Discrete q-Hermite II

Formula:KLS:14.29:11 >>