| 单词 | Hypergeometric Identity |
| 释义 | Hypergeometric IdentityA relation expressing a sum potentially involving Binomial Coefficients,Factorials, Rational Functions, and power functions in terms of a simpleresult. Thanks to results by Fasenmyer, Gosper, Zeilberger, Wilf, and Petkovsek, the problem of determining whether agiven hypergeometric sum is expressible in simple closed form and, if so, finding the form, is now (subject to a mildrestriction) completely solved. The algorithm which does so has been implemented in several computer algebra packages andis called Zeilberger's Algorithm. See also Generalized Hypergeometric Function, Gosper's Algorithm, Hypergeometric Series, Sister Celine's Method, Wilf-Zeilberger Pair, Zeilberger's Algorithm
Petkovsek, M.; Wilf, H. S.; and Zeilberger, D. A=B. Wellesley, MA: A. K. Peters, p. 18, 1996. |
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