Formula:KLS:01.15:06

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formula in The q-derivative and q-integral

Formula:KLS:01.15:07 >>

${\displaystyle{\displaystyle{\displaystyle\mathcal{D}_{q}\left(f(x)g(x)\right)=f(qx)\mathcal{D}_{q}g(x)+g(x)\mathcal{D}_{q}f(x)}}}$

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

Bibliography

Equation in Section 1.15 of KLS.

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<< Formula:KLS:01.15:05

formula in The q-derivative and q-integral

Formula:KLS:01.15:07 >>