Science Fair Project Encyclopedia
Bohr-Mollerup theorem
In mathematical analysis, the Bohr-Mollerup theorem is named after the Danish mathematicians Harald Bohr and Johannes Mollerup , who proved it. The theorem 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
- f(1) = 1, and
-
and
- logf 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
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details