Multisummability of formal power series solutions of linear ordinary differential equations
Werner Balser, Boele L. J. Braaksma, Jaume Ramis, Yasutaka Sibuya · Asymptotic Analysis · 1991
If f is a formal power series solution of a linear meromorphic differential equation, then it is shown that f=f 1 +…+f q , were f j is h j -summable; here h 1 ,…h q are slopes of the associated Newton polygon. The multisummability properties of fundamental solutions of linear homogeneous meromorphic differential equations are studied.