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Multisummable functions. (Fonctions multisommables.) (French) Zbl 0759.34007

La notion de multisommabilité intervient dans la théorie des équations différentielles lorsque des exponentielles d’ordres différents se mélangent. Elle a été introduite par J. Ecalle et étudiée récemment par plusieurs auteurs. On en donne ici une définition simple, qui fait uniquement intervenir des propriétés de décroissance exponentielle.

MSC:

34M99 Ordinary differential equations in the complex domain
34E05 Asymptotic expansions of solutions to ordinary differential equations
40G99 Special methods of summability
40G10 Abel, Borel and power series methods
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References:

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