More convex functions by Artin`s method
Classical Analysis and ODEs
2014-08-29 v1
Abstract
First we recall the notion of conxity and log-convexity for real-valued. Then we generalize the trick used by Artin in his famous paper on the Gamma function to find log-convex solutions to the functional equations f(x+1)=g(x)f(x). This gives rise to understand a function by its representer.
Cite
@article{arxiv.1408.6715,
title = {More convex functions by Artin`s method},
author = {Martin Himmel},
journal= {arXiv preprint arXiv:1408.6715},
year = {2014}
}