DLMF:26.12.E23 (Q7940)

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Language	Label	Description	Also known as
English	DLMF:26.12.E23	No description defined

Statements

{\displaystyle{\displaystyle\sum_{\begin{subarray}{c}\pi\subseteq B(r,r,r)\\ \pi\mbox{\scriptsize\ cyclically symmetric}\end{subarray}}q^{\left|\pi\right|}% =\prod_{h=1}^{r}\frac{1-q^{3h-1}}{1-q^{3h-2}}\prod_{1\leq h<j\leq r}\frac{1-q^% {3(h+2j-1)}}{1-q^{3(h+j-1)}}=\prod_{h=1}^{r}\left(\frac{1-q^{3h-1}}{1-q^{3h-2}% }\prod_{j=h}^{r}\frac{1-q^{3(r+h+j-1)}}{1-q^{3(2h+j-1)}}\right).}}

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DLMF:26.12.E23

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