Wilf Zeilberger Pair
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High Quality Content by WIKIPEDIA articles! 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.…mehr

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High Quality Content by WIKIPEDIA articles! 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.