1 citations · 2 across the 4 of their papers we have counts for
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…
Cohomology for Picard-Vessiot theory
Man Cheung Tsui, Yidi Wang
We introduce a cohomology theory that classifies differential objects that arise from Picard-Vessiot theory, using the differential Hopf-Galois descent. To do this, we provide an e…
Simplifying matrix differential equations with general coefficients
Man Cheung Tsui
We show that the matrix differential equation with general coefficients cannot be simplified to an equation in less than parameters by using gauge t…