@article{MASSAZZA2005418,
    Abstract = {In this work, we study the problem of computing the coefficients of holonomic formal series in two commuting variables. Given a formal series φ(x,y)=∑n,k⩾0cnkxnyk specified by a holonomic system ∑j=0d1pj(x,y)∂xjφ=0 and ∑j=0d2qj(x,y)∂yjφ=0, with a suitable finite set of initial conditions {[xayb]φ(x,y)}, we show that the coefficient [xiyj]φ(x,y) can be computed in time O(i+j) under the uniform cost criterion.},
    Author = {Massazza, P. and Radicioni, R.},
    File = {On computing the coefficients of bivariate holonomic formal series - 1-s2.0-S0304397505004998-main - a - f.pdf},
    ISSN = {0304-3975},
    Journal = {Theoretical Computer Science},
    Keywords = {Formal series, Coefficient problem, Holonomic systems},
    Note = {In memoriam: Alberto Del Lungo (1965-2003)},
    Number = {2},
    Pages = {418 - 438},
    Title = {On computing the coefficients of bivariate holonomic formal series},
    URL = {http://www.sciencedirect.com/science/article/pii/S0304397505004998},
    Volume = {346},
    Year = {2005},
    bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0304397505004998},
    bdsk-url-2 = {https://doi.org/10.1016/j.tcs.2005.08.011},
    date-added = {2020-10-02 19:08:56 +0200},
    date-modified = {2020-10-02 19:08:56 +0200},
    doi = {10.1016/j.tcs.2005.08.011}
}

@article{MASSAZZA2005418, Abstract = {In this work, we study the problem of computing the coefficients of holonomic formal series in two commuting variables. Given a formal series φ(x,y)=∑n,k⩾0cnkxnyk specified by a holonomic system ∑j=0d1pj(x,y)∂xjφ=0 and ∑j=0d2qj(x,y)∂yjφ=0, with a suitable finite set of initial conditions {[xayb]φ(x,y)}, we show that the coefficient [xiyj]φ(x,y) can be computed in time O(i+j) under the uniform cost criterion.}, Author = {Massazza, P. and Radicioni, R.}, File = {On computing the coefficients of bivariate holonomic formal series - 1-s2.0-S0304397505004998-main - a - f.pdf}, ISSN = {0304-3975}, Journal = {Theoretical Computer Science}, Keywords = {Formal series, Coefficient problem, Holonomic systems}, Note = {In memoriam: Alberto Del Lungo (1965-2003)}, Number = {2}, Pages = {418 - 438}, Title = {On computing the coefficients of bivariate holonomic formal series}, URL = {http://www.sciencedirect.com/science/article/pii/S0304397505004998}, Volume = {346}, Year = {2005}, bdsk-url-1 = {http://www.sciencedirect.com/science/article/pii/S0304397505004998}, bdsk-url-2 = {https://doi.org/10.1016/j.tcs.2005.08.011}, date-added = {2020-10-02 19:08:56 +0200}, date-modified = {2020-10-02 19:08:56 +0200}, doi = {10.1016/j.tcs.2005.08.011} }

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