若干_2F_1型超几何级数恒等式的WZ方法证明  

The Proof of the WZ Method for Some Hypergeometric-type Series Identities

作　　者：黄均振[1] 褚玉明[2] 

机构地区：[1]广西师范大学数学科学学院,广西桂林541004 [2]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2009年第1期30-33,共4页Journal of Huzhou University

基　　金：国家自然科学基金资助项目(10761002);广西自然科学基金资助项目(0728090);广西教育厅资助项目(200607MS136);广西研究生教育创新计划项目(20081066020701M236)

摘　　要：利用WZ方法对Gauss2F1恒等式、Chu-Vandermonde2F1恒等式、Kummer2F1恒等式等7个著名的超几何恒等式进行了证明.由此得出结论:WZ方法在证明求和恒等式时是非常有效的,其最大的优势在于高度算法化,尤其是在证明较复杂的超几何恒等式时,采用WZ方法显得较为简便.We give new proofs for seven well--known identical equations including the Gauss 2F1, Chu-Vandermonde 2F1 and Kummer 2F1 identical equations and so on by using the WZ method, and conclude that the WZ method is a very effective method in summating hypergeometric series, and the greatest superiority of the WZ method is its precision arithmetic, and in particuiar, the WZ method can reveal its facility in proving the complex hypergeometric identical equations.

关 键 词：超几何级数恒等式 WZ方法 GAMMA函数 

分 类 号：O174.1[理学—数学]