2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94860We give here a description of the motivic Poincare series in case of irreducible quasi-ordinary hypersurfaces in all dimension. We give an explicit formula in a particular case. Finally, for such singularities, we give a constructive proof of a result of rationnality of such series proved by Denef and Loeser in all generality.new version, parts 5 and 6 were wrongAlgebraic GeometryComplex Variables14B05, 32S25text