@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}
}
Library Size: 13G (12942 entries),
Last Updated: Apr 05, 2026, 08:41:35,
Build Time: N/A