Divergent Products of Negative Integers

$\zeta(\,)$ denotes the Riemann zeta function.
$\gamma = \zeta(1) \approx 0.577215664901532860606512090082402431\ldots$ denotes the Euler-Mascheroni constant.
$A \approx 1.282427129100622636875342568869791727767688\ldots$ denotes the Glaisher-Kinkelin constant.

GENERA

$r$ is the power or order in the infinite product.

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