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Charles H. Franke, A Note on the Galois Theory of Linear Homogeneous Difference Equations, Proceedings of the American Mathematical Society, Vol. 18, No. 3 (Jun., 1967), pp. 548-551 ...
David Moskovitz, Certain Irregular Non-Homogeneous Linear Difference Equations, American Journal of Mathematics, Vol. 55, No. 1 (1933), pp. 525-552 ...