Differential Galois Theory and Integration
Classical Analysis and ODEs
2021-09-30 v1
Abstract
In this paper, we present methods to simplify reducible linear differential systems before solving. Classical integrals appear naturally as solutions of such systems. We will illustrate the methods developed in a previous paper on several examples to reduce the differential system. This will give information on potential algebraic relations between integrals.
Cite
@article{arxiv.2104.09786,
title = {Differential Galois Theory and Integration},
author = {Thomas Dreyfus and Jacques-Arthur Weil},
journal= {arXiv preprint arXiv:2104.09786},
year = {2021}
}