Gauss's multiplication Formula

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\Gamma(ns)=(2\pi)^{\frac{(1-n)}{2}}n^{ns-\frac{1}{2}}\prod_{k\equal0}^{n-1}\Gamma\left(s+\frac{k}{n}\right)

Seen as an evolution of Legendre’s duplication Formula, Gauss’s multiplication Formula covers a much more general case.
Both are primarily used for advanced calculations involving the Gamma Function.

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