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On meromorphic equivalence of linear difference operators

Gertrude K. Immink — 1990

Annales de l'institut Fourier

We consider linear difference equations whose coefficients are meromorphic at $\infty$ . We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.

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