Entire solutions of linear systems of moment differential equations (Alberto Lastra - Universidad de Alcalá)
Séminaire « Analyse complexe et équations différentielles »
								
        
            
            
            
                
                    
                    Salle Kampé de Fériet
                
            
        
    
							
							
							
						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.