Approche galoisienne de la transcendance diff\'erentielle
Classical Analysis and ODEs
2014-04-15 v1 Rings and Algebras
Abstract
In this survey we present the parameterized Galois theory of difference equations, as introduced by Hardouin-Singer. The purpose of this theory is to give a systematic approach to differential transcendence, also called hypertranscendence. As an example of the applications, we explain the Galoisian proof of H\"older's theorem on the differential transcendence of the Gamma function.
Cite
@article{arxiv.1404.3611,
title = {Approche galoisienne de la transcendance diff\'erentielle},
author = {Lucia Di Vizio},
journal= {arXiv preprint arXiv:1404.3611},
year = {2014}
}
Comments
20 pages, French