Difference between revisions of "Q-Gamma at z+1"
From specialfunctionswiki
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==References== | ==References== | ||
| + | * {{PaperReference|The q-gamma function for q greater than 1|1980|Daniel S. Moak|prev=Q-shifted factorial|next=findme}} | ||
[[Category:Theorem]] | [[Category:Theorem]] | ||
[[Category:Unproven]] | [[Category:Unproven]] | ||
Latest revision as of 00:17, 30 May 2017
Theorem
The following formula holds: $$\Gamma_q(z+1)=\dfrac{1-q^z}{1-q}\Gamma_q(z),$$ where $\Gamma_q$ denotes the $q$-gamma function and $[z]_q$ denotes the $q$-number of $z$.
