An Extension of Zeilberger's Fast Algorithm to General Holonomic Functions
Overview & Synopsis
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.
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hal.science)
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Document Information
| Document Title | An Extension of Zeilberger's Fast Algorithm to General Holonomic Functions |
|---|---|
| Author / Organization | Frédéric Chyzak |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2000 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-169807 |
| Original Source Link | Visit Source Page on hal.science » |