Bohr-Mollerup theorem

From specialfunctionswiki
Revision as of 19:35, 6 June 2015 by Tom (talk | contribs)
Jump to: navigation, search

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: