Power series solutions of linear differential equations with polynomial coefficients
type: Item
instance of: scholarly article
title: Power series solutions of linear differential equations with polynomial coefficients
zbMATH Open document ID: 0638.34007
author: Kannika Kongsakorn
author: Vichian Laohakosol
published in: Southeast Asian Bulletin of Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Let y be a formal power series solution of a linear differential equation with polynomial coefficients and y be the nth partial sum of y. It is shown that there exists a linear differential equation (depending on n) which is satisfied by both y and \(y_ n\). This result is applied to show that there exists an algebraic differential equation (independent of n) which is satisfied by y and every \(y_ n\).
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 30B10
zbMATH DE Number: 4040321
zbMATH Keywords: formal power series solution
zbMATH Keywords: polynomial coefficients
zbMATH Keywords: algebraic differential equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4040321