Difference between revisions of "Bohr-Mollerup theorem"
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Revision as of 19:35, 6 June 2015
Theorem: (Bohr-Mollerup) The gamma function is the unique function $f$ such that
- $f(1)=1$
- $f(x+1)=xf(x)$ for $x>0$
- $f$ is logarithmically convex.
Proof: █