A Generalization Of Bohrmollerups Theorem For Higher Order Convex Functions

In 1922 Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its logconvexity property. A decade later Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. BohrMollerups theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.This open access book develops a farreaching generalization of BohrMoll