Henrik L. Pedersen

activity

20062011

collaborators

3 papers

math.CA2011

A completely monotonic function used in an inequality of Alzer

Christian Berg, Henrik L. Pedersen

The function $G (x) = (1 - ln x / ln (1 + x)) x ln x$ has been considered by Alzer, Qi and Guo. We prove that $G^{'}$ is completely monotonic by finding an integral representation of the holo…

math.CA2008

Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

Stamatis Koumandos, Henrik L. Pedersen

We introduce completely monotonic functions of order $r > 0$ and show that the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma…

math.PR2006

Convexity of the median in the gamma distribution

Christian Berg, Henrik L. Pedersen

We show that the median $m (x)$ in the gamma distribution with parameter $x$ is a strictly convex function on the positive half-line