2 papers
math.CA2011
Complete system of analytic invariants for unfolded differential linear systems with an irregular singularity of Poincaré rank 1
Caroline Lambert, Christiane Rousseau
In this, paper, we give a complete system of analytic invariants for the unfoldings of nonresonant linear differential systems with an irregular singularity of Poincaré rank 1 at t…
math.CA2007
The Stokes phenomenon in the confluence of the hypergeometric equation using Riccati equation
Caroline Lambert, Christiane Rousseau
In this paper we study the confluence of two regular singular points of the hypergeometric equation into an irregular one. We study the consequence of the divergence of solutions a…