Formula:8634

Digital Library of Mathematical Functions ID 26.12.E24

${\displaystyle{\displaystyle\sum_{\begin{subarray}{c}\pi\subseteq B(r,r,r)\\ \pi\mbox{\scriptsize\ descending plane partition}\end{subarray}}q^{|\pi|}=\prod_{1\leq h<j\leq r}\frac{1-q^{r+h+j-1}}{1-q^{2h+j-1}}.}}$

Symbols List

• ${\displaystyle{\displaystyle\subseteq}}$:
• ${\displaystyle{\displaystyle h}}$: nonnegative integer
• ${\displaystyle{\displaystyle j}}$: nonnegative integer
• ${\displaystyle{\displaystyle\pi}}$: plane partition
• ${\displaystyle{\displaystyle r}}$: positive integer
• ${\displaystyle{\displaystyle B(r,s,t)}}$: Box
• ${\displaystyle{\displaystyle q}}$: parameter
 

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