Difference between revisions of "Q-derivative power rule"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$D_q(z^n)=[n]_q z^{n-1},$$ where $D_q$...")
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Revision as of 22:06, 2 May 2015

Theorem: The following formula holds: $$D_q(z^n)=[n]_q z^{n-1},$$ where $D_q$ denotes the $q$-derivative and $[n]_q$ denotes the $q$-factorial.

Proof: