On the Functional Equation ,
An application of newton iteration procedure to -adic differential equations
Essential singular points of solutions of an algebraic differential equation.
On the -adic continuation of the logarithmic derivative of certain hypergeometric functions
A new proof of multisummability of formal solutions of non linear meromorphic differential equations
We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equation the idea of our proof is to interpret a formal...
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