REDUCE Package for the Indefinite and Definite Summation
Please always quote using this URN: urn:nbn:de:0297-zib-5147
- This article describes the REDUCE package ZEILBERG implemented by Gregor Stölting and the author. The REDUCE package ZEILBERG is a careful implementation of the Gosper (The sum package contains also a partial implementation of the Gosper algorithm.) and Zeilberger algorithms for indefinite, and definite summation of hypergeometric terms, respectively. An expression $a_k$ is called a {\sl hypergeometric term} (or {\sl closed form}), if $a_{k}/a_{k-1}$ is a rational function with respect to $k$. Typical hypergeometric terms are ratios of products of powers, factorials, $\Gamma$ function terms, binomial coefficients, and shifted factorials (Pochhammer symbols) that are integer-linear in their arguments.
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| Author: | Wolfram Koepf |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1994/11/09 |
| Series (Serial Number): | ZIB-Report (TR-94-09) |
| ZIB-Reportnumber: | TR-94-09 |
| Published in: | Appeared in: SIGSAM Bulletin 29, 1995, pp. 14-30 |
