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

Zeilberger算法、Petkovse算法与一类组合和是否有闭形式的问题[J]. 华南师范大学学报（自然科学版）, 2007, 1(3).

引用本文:

Zeilberger算法、Petkovse算法与一类组合和是否有闭形式的问题[J]. 华南师范大学学报（自然科学版）, 2007, 1(3).

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．

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.

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