A Generalization of Bohr-Mollerup’s Theorem for Higher Order Convex Functions

A Generalization of Bohr-Mollerup’s Theorem for Higher Order Convex Functions
English | 2022 | ISBN: 3030950875 | 341 Pages | PDF EPUB (True) | 18 MB
In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity 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. Bohr-Mollerup’s theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.