An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations
type: Item
instance of: scholarly article
title: An algorithm to compute Liouvillian solutions of prime order linear difference-differential equations
zbMATH Open document ID: 1233.12005
author: N. E. Zubov
published in: Journal of Symbolic Computation
publication date: 2010-02-09T00:00:00Z
review text: In the previous paper [J. Symb. Comput. 45, No. 3, 287--305 (2010; Zbl 1233.12004)], the authors developed a Galois theory for difference-differential equations, defined the notion of Liouvillian solutions for such equations and gave a Galois theoretic criterion for the existence of such solutions. In the present paper, they study algorithms for deciding the existence of such solutions.
reviewed by: Jacques Sauloy
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 12-04
zbMATH DE Number: 5667919
zbMATH Keywords: linear difference-differential equations
zbMATH Keywords: normal form
zbMATH Keywords: algorithm
zbMATH Keywords: Liouvillian solutions
Wikidata QID: Q57440645
describes a project that uses: Maple
describes a project that uses: RatDiff
MaRDI profile type: Publication
full work available at URL: j.jsc.2009.09.002
OpenAlex ID: W2142682154
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DOI: 10.1016/J.JSC.2009.09.002
description: scientific article; zbMATH DE number 5667919