Elliptic gamma function

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The elliptic gamma function is defined by $$\Gamma(z;p,q)=\displaystyle\prod_{m=0}^{\infty} \displaystyle\prod_{n=0}^{\infty} \dfrac{1-\frac{p^{m+1}q^{n+1}}{z}}{1-p^mq^nz}.$$