On the reduction of the degree of linear differential operators

Let L be a linear differential operator with coefficients in some differential field k of characteristic zero with algebraically closed field of constants. Let k^a be the algebraic closure of k. For a solution y, Ly=0, we determine the linear differential operator of minimal degree M and coefficient...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2010-03
Hauptverfasser:	Bobieński, Marcin, Gavrilov, Lubomir
Format:	Artikel
Sprache:	eng
Schlagworte:	Differential equations Fields (mathematics) Mathematical analysis Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems Operators (mathematics) Polynomials
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!