Bohr-Mollerup theorem
From specialfunctionswiki
Theorem: (Bohr-Mollerup) The gamma function is the unique function $f$ such that $f(1)=1$, $f(x+1)=xf(x)$ for $x>0$, and $f$ is logarithmically convex.
Proof: █
Theorem: (Bohr-Mollerup) The gamma function is the unique function $f$ such that $f(1)=1$, $f(x+1)=xf(x)$ for $x>0$, and $f$ is logarithmically convex.
Proof: █