Defines universal exponential extension of algebraically closed differential fields and proves normalization theorems for algebraic differential equations over H-fields.
´Ecalle,Introduction aux Fonctions Analysables et Preuve Constructive de la Con- jecture de Dulac,Actualit´ es Math´ ematiques, Hermann, Paris
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Normalizing Asymptotic Differential Equations
Defines universal exponential extension of algebraically closed differential fields and proves normalization theorems for algebraic differential equations over H-fields.