Q-Pochhammer

From specialfunctionswiki
Revision as of 19:17, 18 December 2016 by Tom (talk | contribs) (Properties)
Jump to: navigation, search

The $q$-Pochhammer symbol $[a]_{n,q}$ is defined for $n=0$ by $[a]_{0,q}=1$, for $n=1,2,3,\ldots$ by the formula $$[a]_{n,q}= \displaystyle\prod_{k=0}^{n-1} [a+m]_q.$$

Notes

Mathworld and Mathematica define the "$q$-Pochhammer symbol" to be what we call the $q$-factorial.


$q$-calculus