Difference between revisions of "Second q-shifted factorial"
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$$\langle a;q \rangle_n = \left\{ \begin{array}{ll} | $$\langle a;q \rangle_n = \left\{ \begin{array}{ll} | ||
1, & n=0; \\ | 1, & n=0; \\ | ||
| − | \displaystyle\prod_{k=0}^{n-1} (1-q^ | + | \displaystyle\prod_{k=0}^{n-1} (1-q^{a+m}), & n=1,2,\ldots |
\end{array} \right.$$ | \end{array} \right.$$ | ||
Revision as of 20:16, 3 June 2016
The $q$-shifted factorial $\langle a;q \rangle_n$ is given by $$\langle a;q \rangle_n = \left\{ \begin{array}{ll} 1, & n=0; \\ \displaystyle\prod_{k=0}^{n-1} (1-q^{a+m}), & n=1,2,\ldots \end{array} \right.$$
