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Constant term evaluation for summation of C-finite sequences
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Hou, Qing-Hu Xin, Guoce |
| Abstract | Based on constant term evaluation, we present a new method to compute a closed form of the summation $∑_k=0^n-1 ∏_j=1^r F_j(a_jn+b_jk+c_j)$, where ${F_j(k)} are $C$-finite sequences and $a_j$ and $a_j+b_j$ are nonnegative integers. Our algorithm is much faster than that of Greene and Wilf. |
| Ending Page | 772 |
| Page Count | 12 |
| Starting Page | 761 |
| File Format | |
| ISSN | 14627264 |
| e-ISSN | 13658050 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| Language | English |
| Publisher | Discrete Mathematics and Theoretical Computer Science DMTCS |
| Publisher Date | 2010-01-01 |
| Access Restriction | Open |
| Subject Keyword | constant term summation closed form C-finite sequences math info Mathematics [math] Combinatorics [math.CO] Computer Science [cs] Discrete Mathematics [cs.DM] |
| Content Type | Text |
| Resource Type | Article |
| Subject | Discrete Mathematics and Combinatorics Theoretical Computer Science Computer Science |
