Difference between revisions of "Second q-shifted factorial"
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(Created page with "The $q$-shifted factorial $\lt a;q \rt_n$ is given by $$\lt a;q \rt_n = \left\{ \begin{array}{ll} 1, & n=0; \displaystyle\prod_{k=0}^{n-1} (1-q^(a+m)), & n=1,2,\ldots \end{arr...") |
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| − | The $q$-shifted factorial $\ | + | The $q$-shifted factorial $\langle a;q \rangle_n$ is given by |
| − | $$\ | + | $$\langle a;q \rangle_n = \left\{ \begin{array}{ll} |
| − | 1, & n=0; | + | 1, & n=0; \\ |
\displaystyle\prod_{k=0}^{n-1} (1-q^(a+m)), & n=1,2,\ldots | \displaystyle\prod_{k=0}^{n-1} (1-q^(a+m)), & n=1,2,\ldots | ||
\end{array} \right.$$ | \end{array} \right.$$ | ||
Revision as of 20:15, 3 June 2016
The $q$-shifted factorial $\langle a;q \rangle_n$ is given by $$\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.$$
