Formula:KLS:14.27:09

<< Formula:KLS:14.27:08

formula in Stieltjes-Wigert

Formula:KLS:14.27:10 >>

${\displaystyle{\displaystyle{\displaystyle S_{n}\!\left(x;q\right)-xS_{n}\!\left(qx;q\right)=(1-q^{n+1})S_{n+1}\!\left(q^{-1}x;q\right)}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle S_{n}}}}$ : Stieltjes-Wigert polynomial : http://drmf.wmflabs.org/wiki/Definition:StieltjesWigert

Bibliography

Equation in Section 14.27 of KLS.

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<< Formula:KLS:14.27:08

formula in Stieltjes-Wigert

Formula:KLS:14.27:10 >>