Formula:KLS:14.28:10

<< Formula:KLS:14.28:08

formula in Discrete q-Hermite I

Formula:KLS:14.28:11 >>

${\displaystyle{\displaystyle{\displaystyle h_{n}\!\left(x;q\right)-h_{n}\!\left(qx;q\right)=(1-q^{n})xh_{n-1}\!\left(x;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle h_{n}}}}$ : discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite I polynomial : http://drmf.wmflabs.org/wiki/Definition:discrqHermiteI

Bibliography

Equation in Section 14.28 of KLS.

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<< Formula:KLS:14.28:08

formula in Discrete q-Hermite I

Formula:KLS:14.28:11 >>