REDUCE package for the indefinite and definite summation
Abstract
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 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 $a_{k}/a_{k1}$ 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 integerlinear in their arguments.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 1994
 arXiv:
 arXiv:math/9412228
 Bibcode:
 1994math.....12228K
 Keywords:

 Mathematics  Classical Analysis and ODEs