Difference between revisions of "Q-derivative"
From specialfunctionswiki
(→References) |
|||
| Line 11: | Line 11: | ||
=References= | =References= | ||
| + | * {{PaperReference|q-exponential and q-gamma functions. I. q-exponential functions|1994|D.S. McAnally|next=findme}} $(2.1)$ | ||
Revision as of 19:26, 18 December 2016
The $q$-derivative is defined by $$\dfrac{\mathrm{d}_qf}{\mathrm{d}_qz}=\left\{ \begin{array}{ll} \dfrac{f(qz)-f(z)}{qz-z}, & \quad z \neq 0 \\ f'(0), & \quad z=0, \end{array} \right.$$ where $f'(0)$ denotes the derivative.
Properties
Relationship between q-derivative and derivative
q-derivative power rule
