Entire solutions of linear systems of moment differential equations and related asymptotic growth at infinity

The general entire solution to a linear system of moment differential equations is obtained in terms of a moment kernel function for generalized summability, and the Jordan decomposition of the matrix defining the problem. The growth at infinity of any solution of the system is also determined, both globally and also following rays to infinity, determining the order and type of such solutions.Agencia Estatal de InvestigaciónUniversidad de Alcal