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  "body": "\n## Summary\n\nThe Barnes G-function is an [[entire function|0G4F0XB9X2]] $G$ with $G(1) = 1$ and $G(z+1) = \\Gamma(z)\\, G(z)$, where $\\Gamma$ is the [[gamma function|0H5SYBSED9]].\nIt plays for the gamma function the role that the gamma function plays for the identity function.\nAt positive integers it gives the superfactorials $G(n) = 0!\\,1!\\cdots(n-2)!$.\nIt is, up to an elementary factor, a [[multiple gamma function|FM0ZZS1PY2]] of order two, and it appears in random matrix theory and in determinant formulas.\n\n## Explanations\n\n### L1 human\n\nThe factorial multiplies the numbers $1, 2, \\ldots, n$.\nThe superfactorial multiplies the factorials $0!, 1!, \\ldots$ in the same way.\nThe Barnes G-function fills in values of the superfactorial between the whole numbers, as the gamma function does for the factorial.\nFor example, $G(5) = 0! \\cdot 1! \\cdot 2! \\cdot 3! = 12$.\n",
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