Liouvillian solutions of linear difference-differential equations

Abstract

For a field k with an automorphism σ and a derivation δ, we introduce the notion of liouvillian solutions of linear difference-differential systems {σ(Y ) = AY, δ(Y ) = BY } over k and characterize the existence of liouvillian solutions in terms of the Galois group of the systems. We will give an algorithm to decide whether such a system has liouvillian… (More)
DOI: 10.1016/j.jsc.2009.09.001

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