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.
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.
@article{AIF_1990__40_3_683_0,
author = {Immink, Gertrude K.},
title = {On meromorphic equivalence of linear difference operators},
journal = {Annales de l'Institut Fourier},
pages = {683--699},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {40},
number = {3},
year = {1990},
doi = {10.5802/aif.1228},
mrnumber = {92e:39018},
zbl = {0697.39006},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/aif.1228/}
}
TY - JOUR AU - Immink, Gertrude K. TI - On meromorphic equivalence of linear difference operators JO - Annales de l'Institut Fourier PY - 1990 SP - 683 EP - 699 VL - 40 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/articles/10.5802/aif.1228/ DO - 10.5802/aif.1228 LA - en ID - AIF_1990__40_3_683_0 ER -
%0 Journal Article %A Immink, Gertrude K. %T On meromorphic equivalence of linear difference operators %J Annales de l'Institut Fourier %D 1990 %P 683-699 %V 40 %N 3 %I Institut Fourier %C Grenoble %U http://archive.numdam.org/articles/10.5802/aif.1228/ %R 10.5802/aif.1228 %G en %F AIF_1990__40_3_683_0
Immink, Gertrude K. On meromorphic equivalence of linear difference operators. Annales de l'Institut Fourier, Tome 40 (1990) no. 3, pp. 683-699. doi : 10.5802/aif.1228. http://archive.numdam.org/articles/10.5802/aif.1228/
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