On meromorphic equivalence of linear difference operators
Annales de l'Institut Fourier, Tome 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.
@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},
year = {1990},
publisher = {Institut Fourier},
address = {Grenoble},
volume = {40},
number = {3},
doi = {10.5802/aif.1228},
mrnumber = {92e:39018},
zbl = {0697.39006},
language = {en},
url = {http://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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
Cité par Sources :