Formula:KLS:01.15:02

<< Formula:KLS:01.15:01

formula in The q-derivative and q-integral

Formula:KLS:01.15:03 >>

${\displaystyle{\displaystyle{\displaystyle\mathcal{D}^{0}_{q}f:=f\quad\textrm{and}\quad\mathcal{D}^{n}_{q}f:=\mathcal{D}_{q}\left(\mathcal{D}^{n-1}_{q}f\right)\quad n=1,2,3,\ldots}}}$

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:01.15:01

formula in The q-derivative and q-integral

Formula:KLS:01.15:03 >>