Difference between revisions of "Q-Pochhammer"
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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 | 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 | ||
$$[a]_{n,q}= \displaystyle\prod_{k=0}^{n-1} [a+m]_q.$$ | $$[a]_{n,q}= \displaystyle\prod_{k=0}^{n-1} [a+m]_q.$$ | ||
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=Notes= | =Notes= | ||
Revision as of 19:17, 18 December 2016
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.
