Formula:KLS:14.18:11

<< Formula:KLS:14.18:10

formula in Continuous big q-Hermite

Formula:KLS:14.18:12 >>

${\displaystyle{\displaystyle{\displaystyle\ctsbigqHermite{n}@{x}{a}{q}=2^{n}\monicctsbigqHermite{n}@@{x}{a}{q}}}}$

Proof

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Symbols List

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

Bibliography

Equation in Section 14.18 of KLS.

URL links

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<< Formula:KLS:14.18:10

formula in Continuous big q-Hermite

Formula:KLS:14.18:12 >>