Zeilberger算法、Petkovse算法与一类组合和是否有闭形式的问题

摘要: 提出研究形如的组合和的闭形式问题的Z-P方法,并利用此方法得到了如下结果：1)当时证明了对未定元 , 无闭形式表示；2)对、、及取特定的值，借助计算机归纳出几个值得探索的猜测．
- Zeilberger算法 /
- Petkov?ek算法 /
- 闭形式
Abstract: The Z-P method is gived to study the problem whether a kind of combinatorial sum has closed form．By using this method:1)when .,its proved that for a indeterminate , has no closed form ;2)when 、、 and are given specific values ,inductively several conjectures which deserved being studied are obtained，with computer.
- Zeilberger’s algorithm /
- Petkov?ek’s algorithm /
- Closed form