Bohr-mollerup Theorem

$\backslash Gamma(x)=\backslash int\_0^\backslash infty\; t^\{x-1\}\; e^\{-t\}\backslash ,dt$

• $f(1)=1,$ and
• $f(x+1)=xf(x)\backslash \; \backslash mbox\{for\}\backslash \; x>0,$ and
• $\backslash log\; f$ is a convex function.

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