@article{Bousquet-Melou:Petkovsek:DM:2000,
    Abstract = {While in the univariate case solutions of linear recurrences with constant coefficients have rational generating functions, we show that the multivariate case is much richer: even though initial conditions have rational generating functions, the corresponding solutions can have generating functions which are algebraic but not rational, D-finite but not algebraic, and even non-D-finite.},
    Author = {Bousquet-M{\'e}lou, Mireille and Petkov{\v s}ek, Marko},
    File = {Linear recurrences with constant coefficients- the multivariate case - 1-s2.0-S0012365X00001473-main.pdf},
    ISSN = {0012-365X},
    Journal = {Discrete Mathematics},
    Note = {FPSAC'98},
    Number = {1},
    Pages = {51--75},
    Title = {Linear recurrences with constant coefficients: the multivariate case},
    URL = {https://www.sciencedirect.com/science/article/pii/S0012365X00001473},
    Volume = {225},
    Year = {2000},
    bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0012365X00001473},
    bdsk-url-2 = {https://doi.org/10.1016/S0012-365X(00)00147-3},
    date-added = {2023-08-14 11:50:30 +0200},
    date-modified = {2023-08-30 13:17:12 +0200},
    doi = {10.1016/S0012-365X(00)00147-3}
}

@article{Bousquet-Melou:Petkovsek:DM:2000, Abstract = {While in the univariate case solutions of linear recurrences with constant coefficients have rational generating functions, we show that the multivariate case is much richer: even though initial conditions have rational generating functions, the corresponding solutions can have generating functions which are algebraic but not rational, D-finite but not algebraic, and even non-D-finite.}, Author = {Bousquet-M{\'e}lou, Mireille and Petkov{\v s}ek, Marko}, File = {Linear recurrences with constant coefficients- the multivariate case - 1-s2.0-S0012365X00001473-main.pdf}, ISSN = {0012-365X}, Journal = {Discrete Mathematics}, Note = {FPSAC'98}, Number = {1}, Pages = {51--75}, Title = {Linear recurrences with constant coefficients: the multivariate case}, URL = {https://www.sciencedirect.com/science/article/pii/S0012365X00001473}, Volume = {225}, Year = {2000}, bdsk-url-1 = {https://www.sciencedirect.com/science/article/pii/S0012365X00001473}, bdsk-url-2 = {https://doi.org/10.1016/S0012-365X(00)00147-3}, date-added = {2023-08-14 11:50:30 +0200}, date-modified = {2023-08-30 13:17:12 +0200}, doi = {10.1016/S0012-365X(00)00147-3} }