Formula:KLS:14.18:26

<< Formula:KLS:14.18:25

formula in Continuous big q-Hermite

Formula:KLS:14.18:27 >>

${\displaystyle{\displaystyle{\displaystyle Q_{n}\!\left(x;a,0\,|\,q\right)=H_{n}\!\left(x;a|q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle Q_{n}}}}$ : Al-Salam-Chihara polynomial : http://drmf.wmflabs.org/wiki/Definition:AlSalamChihara
${\displaystyle{\displaystyle{\displaystyle H_{n}}}}$ : continuous big ${\displaystyle{\displaystyle{\displaystyle q}}}$-Hermite polynomial : http://drmf.wmflabs.org/wiki/Definition:ctsbigqHermite

Bibliography

Equation in Section 14.18 of KLS.

URL links

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<< Formula:KLS:14.18:25

formula in Continuous big q-Hermite

Formula:KLS:14.18:27 >>