Differential Galois Theory for an Exponential Extension of
Magali Bouffet (2003)
Bulletin de la Société Mathématique de France
Similarity:
In this paper we study the formal differential Galois group of linear differential equations with coefficients in an extension of by an exponential of integral. We use results of factorization of differential operators with coefficients in such a field to give explicit generators of the Galois group. We show that we have very similar results to the case of .