Difference between revisions of "Q-Pochhammer"
From specialfunctionswiki
(Created page with "$$(a;q)_n=\displaystyle\prod_{j=0}^{n-1} (1-aq^k)$$ $$(a;q)_{\infty} = \displaystyle\prod_{j=0}^{\infty} (1-aq^k)$$") |
|||
| Line 1: | Line 1: | ||
| − | $$(a;q)_n=\displaystyle\prod_{j=0}^{n-1} (1-aq^k)$$ | + | $$(a;q)_n=\dfrac{(a;q)_{\infty}}{(aq^n;q)_{\infty}}\stackrel{n \in \mathbb{Z}^+}{=} \displaystyle\prod_{j=0}^{n-1} (1-aq^k)$$ |
$$(a;q)_{\infty} = \displaystyle\prod_{j=0}^{\infty} (1-aq^k)$$ | $$(a;q)_{\infty} = \displaystyle\prod_{j=0}^{\infty} (1-aq^k)$$ | ||
Revision as of 07:05, 27 July 2014
$$(a;q)_n=\dfrac{(a;q)_{\infty}}{(aq^n;q)_{\infty}}\stackrel{n \in \mathbb{Z}^+}{=} \displaystyle\prod_{j=0}^{n-1} (1-aq^k)$$ $$(a;q)_{\infty} = \displaystyle\prod_{j=0}^{\infty} (1-aq^k)$$
