Difference between revisions of "Q-derivative"

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(Properties)
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=Properties=
 
=Properties=
{{:Relationship between q-derivative and derivative}}
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[[Relationship between q-derivative and derivative]]<br />
{{:q-derivative power rule}}
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[[q-derivative power rule]]<br />
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=References=

Revision as of 01:05, 25 June 2016

The $q$-derivative is $$\left(\dfrac{d}{dx} \right)_q f(x) =D_q\{f\}(x)=\left\{ \begin{array}{ll} \dfrac{f(qx)-f(x)}{qx-x} &; x \neq 0 \\ f'(0) &; x=0. \end{array} \right.$$

Properties

Relationship between q-derivative and derivative
q-derivative power rule

References