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An Extension of Zeilberger's Fast Algorithm to General Holonomic Functions
| Content Provider | Hyper Articles en Ligne (HAL) |
|---|---|
| Author | Chyzak, Frédéric |
| Abstract | We extend Zeilberger's fast algorithm for definite hypergeometric summation to non-hypergeometric holonomic sequences. The algorithm generalizes to the differential case and to q-calculus as well. Its theoretical justification is based on a description by linear operators and on the theory of holonomy. |
| Ending Page | 134 |
| Page Count | 20 |
| Starting Page | 115 |
| File Format | |
| ISSN | 0012365X |
| Journal | Discrete Mathematics |
| Volume Number | 217 |
| Language | English |
| Publisher | Elsevier |
| Publisher Date | 2000-01-01 |
| Access Restriction | Open |
| Subject Keyword | $\partial$-finite functions holonomic functions symbolic integration symbolic summation Zeilberger's algorithm info math Computer Science [cs] Symbolic Computation [cs.SC] Mathematics [math] Combinatorics [math.CO] |
| Content Type | Text |
| Resource Type | Article |
| Subject | Discrete Mathematics and Combinatorics Theoretical Computer Science |