Formula:KLS:14.27:08

<< Formula:KLS:14.27:07

formula in Stieltjes-Wigert

Formula:KLS:14.27:09 >>

${\displaystyle{\displaystyle{\displaystyle\mathcal{D}_{q}S_{n}\!\left(x;q\right)=-\frac{q}{1-q}S_{n-1}\!\left(q^{2}x;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle\mathcal{D}_{q}^{n}}}}$ : ${\displaystyle{\displaystyle{\displaystyle q}}}$-derivative : http://drmf.wmflabs.org/wiki/Definition:qderiv
${\displaystyle{\displaystyle{\displaystyle S_{n}}}}$ : Stieltjes-Wigert polynomial : http://drmf.wmflabs.org/wiki/Definition:StieltjesWigert

Bibliography

Equation in Section 14.27 of KLS.

URL links

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<< Formula:KLS:14.27:07

formula in Stieltjes-Wigert

Formula:KLS:14.27:09 >>