Multisummability of formal power series solutions of linear ordinary differential equations
- 1 July 1991
- journal article
- Published by SAGE Publications in Asymptotic Analysis
- Vol. 5 (1) , 27-45
- https://doi.org/10.3233/asy-1991-5102
Abstract
If f is a formal power series solution of a linear meromorphic differential equation, then it is shown that f=f1+…+fq, were fj is hj-summable; here h1,…hq are slopes of the associated Newton polygon. The multisummability properties of fundamental solutions of linear homogeneous meromorphic differential equations are studied.This publication has 0 references indexed in Scilit: