no. 3
On meromorphic equivalence of linear difference operators
Annales de l'Institut Fourier, Volume 40 (1990) no. 3, pp. 683-699.

We consider linear difference equations whose coefficients are meromorphic at ∞. 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.

On étudie des équations linéaires aux différences finies à coefficients méromorphes à l’infini. On caractérise les classes d’équivalence méromorphes de telles équations par un système d’invariants méromorphes. On démontre la liberté de ce systèmes en utilisant une méthode inspirée des travaux de G.D. Birkhoff.

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Immink, Gertrude K. On meromorphic equivalence of linear difference operators. Annales de l'Institut Fourier, Volume 40 (1990) no. 3, pp. 683-699. doi : 10.5802/aif.1228. https://aif.centre-mersenne.org/articles/10.5802/aif.1228/

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