4 papers
Solving Third Order Linear Difference Equations in Terms of Second Order Equations
Heba Bou KaedBey, Mark van Hoeij, Man Cheung Tsui
We present two algorithms for computing what we call the absolute factorization of a difference operator. We also give an algorithm to solve third order difference equations in ter…
Solving Order 3 Difference Equations
Heba Bou KaedBey, Mark van Hoeij, Man Cheung Tsui
We classify order linear difference operators over that are solvable in terms of lower order difference operators. To prove this result, we introduce the notion…
Hypergeometric Solutions of Linear Difference Systems
Moulay Barkatou, Mark van Hoeij, Johannes Middeke +1
We extend Petkovšek's algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems , with ,…
Submodule approach to creative telescoping
Mark van Hoeij
This paper proposes ideas to speed up the process of creative telescoping, particularly when the telescoper is reducible. One can interpret telescoping as computing an annihilator…