Confluence q-différence vers différence pour un système Fuchsien

Anne Duval

Vol. 217 (2004), No. 2, 221–245

DOI: 10.2140/pjm.2004.217.221

Abstract

In a previous article we showed how one can see the classical result on existence and uniqueness of a fundamental set of factorial series solutions of a regular difference system as the limit, when q tends to 1, of analogous results for a q-difference system obtained by some kind of deformation. We extend here this property to singular-regular (or Fuchsian) systems.

Milestones

Received: 22 October 2003

Revised: 13 April 2004

Published: 1 December 2004