Formula:KLS:14.26:07

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formula in Continuous q-Hermite

Formula:KLS:14.26:08 >>

${\displaystyle{\displaystyle{\displaystyle H_{n}\!\left(x\,|\,q\right)=2^{n}{\widehat{H}}_{n}\!\left(x\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle H_{n}}}}$ : continuous ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsqHermite
${\displaystyle{\displaystyle{\displaystyle{\widehat{H}}_{n}}}}$ : monic continuous ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:monicctsqHermite

Bibliography

Equation in Section 14.26 of KLS.

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formula in Continuous q-Hermite

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