Vol. 217, No. 2, 2004

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Anne Duval

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.

Authors
Anne Duval
Laboratoire Paul Painleve
UMR-CNRS 8524
U.F.R. de Mathématiques
59655 Villeneuve d'Ascq
Cedex
France