Wilf-Zeilberger Pair |
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Editor:
| Surhone, Lambert M. Timpledon, Miriam T. Marseken, Susan F. |
ISBN: | 978-613-1-19137-4 |
Publication Date: | Aug 2010 |
Publisher: | AV Akademikerverlag GmbH & Co. KG
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Book Format: | Paperback |
List Price: | USD $51.00 |
Book Description:
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, specifically combinatorics, a Wilf–Zeilberger pair, or WZ pair, is a pair of functions that can be used to certify certain combinatorial identities. In particular, WZ pairs are instrumental in the evaluation of many sums involving binomial coefficients, factorials, and in general any hypergeometric series. A function's WZ counterpart may...
More DescriptionPlease note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, specifically combinatorics, a Wilf–Zeilberger pair, or WZ pair, is a pair of functions that can be used to certify certain combinatorial identities. In particular, WZ pairs are instrumental in the evaluation of many sums involving binomial coefficients, factorials, and in general any hypergeometric series. A function's WZ counterpart may be used to find an equivalent, and much simpler sum. Although finding WZ pairs by hand is impractical in most cases, Gosper's algorithm provides a sure method to find a function's WZ counterpart, and can be implemented in a symbolic manipulation program.