4 papers
Algorithms for 2-Solvable Difference Equations
Heba Bou KaedBey, Mark Van Hoeij
Our paper "Solving Third Order Linear Difference Equations in Terms of Second Order Equations" gave two algorithms for solving difference equations in terms of lower order equation…
Hypergeometric Solutions of Linear Difference Systems
Moulay Barkatou, Mark van Hoeij, Johannes Middeke +1
We extend PetkovÅ¡ek's algorithm for computing hypergeometric solutions of scalar difference equations to the case of difference systems , with $M \in {\rm GL}_n(C(x))…
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…
The Modularity of Z.-W. Sun's Conjectural Formulas for
Mark van Hoeij, Wei-Lun Tsai, Dongxi Ye
In this work, we establish modular parameterizations for two general formulas for that subsume conjectural Ramanujan type formulas due to Z.-W. Sun, which have remaine…