Bohr-Mollerup theorem Guide, Meaning , Facts, Information and Description
In
mathematical analysis, the
Bohr-Mollerup theorem, named after the Danish mathematicians
Harald Bohr and Johannes Mollerup, who proved it,
characterizes the
gamma function, defined for
x > 0 by
as the
only function
f on the interval
x > 0 that simultaneously has the three properties
- and
- and
- is a convex function.
That log
f is convex is often expressed by saying that
f is log-convex, i.e., a log-convex function is one whose logarithm is convex.
External link
Proof, at PlanetMath
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