Formula:KLS:14.28:06

<< Formula:KLS:14.28:05

formula in Discrete q-Hermite I

Formula:KLS:14.28:07 >>

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{h}}_{n}}}}$ : monic discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite I polynomial : http://drmf.wmflabs.org/wiki/Definition:monicdiscrqHermiteI

Bibliography

Equation in Section 14.28 of KLS.

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<< Formula:KLS:14.28:05

formula in Discrete q-Hermite I

Formula:KLS:14.28:07 >>