## Optimization Seminar

Thursday, October 26, 2017 · 10:30 AM - Noon

**Title:**

*Convexity in the uniqueness of the Gamma function*

**Speaker:**Michael Orlitzky

**The function Gamma(x) defined as the integral (with respect to t) of t^{x-1}e^{-t} from zero to infinity is the unique positive function f on (0, infinity) possessing the following three properties:**

Abstract:

Abstract:

- f(x+1) = xf(x)
- f(1) = 1
- f is log-convex