Formula:KLS:14.29:08

<< Formula:KLS:14.29:07

formula in Discrete q-Hermite II

Formula:KLS:14.29:09 >>

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

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{\tilde{p}}_{n}}}}}$ : monic discrete ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite II polynomial : http://drmf.wmflabs.org/wiki/Definition:monicdiscrqHermiteII

Bibliography

Equation in Section 14.29 of KLS.

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<< Formula:KLS:14.29:07

formula in Discrete q-Hermite II

Formula:KLS:14.29:09 >>