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math.AC2024★ 1 cited
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…
math.RA2024★ 1 cited
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…