Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences
type: Item
instance of: scholarly article
title: Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences
zbMATH Open document ID: 1232.39001
published in: Journal of Symbolic Computation
publication date: 2011-12-07T00:00:00Z
Mathematics Subject Classification ID: 39A06
Mathematics Subject Classification ID: 39A14
Mathematics Subject Classification ID: 30D20
Mathematics Subject Classification ID: 65Q10
zbMATH DE Number: 5986947
zbMATH Keywords: entire solutions
zbMATH Keywords: linear difference equations
zbMATH Keywords: subanalytic solutions
zbMATH Keywords: hypergeometric sequences
zbMATH Keywords: summation algorithms
zbMATH Keywords: computer algebra systems
author: S. A. Abramov
author: Moulay A. Barkatou
author: Mark van Hoeij
author: Marko Petkovšek
MaRDI profile type: Publication
full work available at URL: j.jsc.2011.08.003
OpenAlex ID: W2142875888
cites work: Q4660678
cites work: When does Zeilberger's algorithm succeed?
cites work: On the summation of <bi>P</bi>-recursive sequences
cites work: The denominators of rational solutions to linear difference equations
cites work: Integration of solutions of linear functional equations
cites work: Q5317018
cites work: Gosper's algorithm, accurate summation, and the discrete Newton-Leibniz formula
cites work: Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation
cites work: Dimensions of solution spaces of \(H\)-systems
cites work: Decision procedure for indefinite hypergeometric summation
cites work: Finite singularities and hypergeometric solutions of linear recurrence equations
cites work: On the Relation between Linear Difference and Differential Equations with Polynomial Coefficients
cites work: Q4875364
cites work: Fundamental solutions for meromorphic linear difference equations in the complex plane, and related problems.
cites work: The method of creative telescoping
DOI: 10.1016/J.JSC.2011.08.003
description: scientific article; zbMATH DE number 5986947