Resommation des series formelles

@article{Thomann1990ResommationDS,
  title={Resommation des series formelles},
  author={J. Thomann},
  journal={Numerische Mathematik},
  year={1990},
  volume={58},
  pages={503-535}
}
  • J. Thomann
  • Published 1990
  • Mathematics
  • Numerische Mathematik
  • SummaryFormulae for solutions of complex ordinary differential equations in the neighbourhood of irregular singularities contain almost every time divergent series. The Resummation Theory developed in the field of Analytic Functional Equations by J.P. Ramis provides us with a tool-box to perform in different ways some effective calculations and to compare their results. We take full advantage of the possibilities of Computer Algebra, especially of exact rational evaluation. 
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