Entire solutions of linear systems of moment differential equations (Alberto Lastra - Universidad de Alcalá)Séminaire « Analyse complexe et équations différentielles »
We construct the entire solutions to linear system of
moment differential equations of constant coefficients by means of kernel functions for generalized summability. The procedure heavily rests
on the Jordan decomposition of the matrix of coefficients and certain generalized exponential and related functions.
We also describe the asymptotic behavior of the solution at infinity following different approaches.