摘要
利用WZ方法对一类组合和的一些特殊情形给出了其渐近估计,然后猜测出一般结果,最后利用分析的方法给予了严格证明,并且通过引进参数,将结论作了极大的拓广,由此产生了一系列目前无法解释的数学现象和无法解决的数学问题.
By using WZ method, the asymptotic estimates for some special cases of a kind of combinatorial sum were obtained, then some general results were conjectured from them and proved by using analytic method. At last, from the study, a series of mathematical problems, which could not be solved at the moment, are presented.
出处
《华南师范大学学报(自然科学版)》
CAS
2004年第3期29-36,86,共9页
Journal of South China Normal University(Natural Science Edition)
关键词
WZ方法
积分表示
渐近估计
不定超几何和
闭形式
definite hypergeometric sum
indefinite hypergeometric sum
closed form
asymptotic estimates