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: