On the relation between global properties of linear difference and differential equations with polynomial coefficients. II
type: Item
instance of: scholarly article
title: On the relation between global properties of linear difference and differential equations with polynomial coefficients. II
zbMATH Open document ID: 0856.34007
author: Yanyan Li
published in: Journal of Differential Equations
publication date: 1997-02-19T00:00:00Z
review text: [For part I see ibid. 113, No. 1, 201-233 (1994; Zbl 0810.34007).] The applications of the Mellin transformation to the theory of linear differential and difference equations with polynomial coefficients in the case that the linear differential equation has a regular singularity at \(\infty\) and an irregular one at the origin of the complex plane, are studied. Two fundamental systems of solutions of an associated difference equation with the same asymptotic representation as the variable tends to \(\infty\), one in the right half plane and the other in the left half plane, are constructed.
Mathematics Subject Classification ID: 34M99
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 895809
zbMATH Keywords: Mellin transformation
zbMATH Keywords: linear differential and difference equations with polynomial coefficients
zbMATH Keywords: fundamental systems
zbMATH Keywords: asymptotic representation
MaRDI profile type: Publication
full work available at URL: jdeq.1996.0093
OpenAlex ID: W2146097253
DOI: 10.1006/JDEQ.1996.0093
description: scientific article; zbMATH DE number 895809