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Название: Solving difference equations in finite terms
Авторы: Singer M.F., Hendriks P.A.
We define the notion of a Liouvillian sequence and show that the solution space of a difference equation with rational function coefficients has a basis of Liouvillian sequences iff the Galois group of the equation is solvable. Using this we give a procedure to determine the Liouvillian solutions of such a difference equation.