Difference between revisions of "Bohr-Mollerup theorem"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> (Bohr-Mollerup) The gamma function is the unique f...") |
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| − | + | ==Theorem== | |
| − | + | 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== | |
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| − | + | ==References== | |
| − | + | ||
| − | + | [[Category:Theorem]] | |
| − | + | [[Category:Unproven]] | |
Latest revision as of 00:49, 1 October 2016
Theorem
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.
