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WZ方法、积分表示与一类组合和的渐近估计问题 被引量:4

WZ METHOD, INTEGRAL REPRESENTATION AND THE PROBLEM OF ASYMPTOTIC ESTIMATES FOR A KIND OF COMBINATORIAL SUM
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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.
作者 陈奕俊
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
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参考文献6

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同被引文献57

  • 1陈奕俊.Gosper算法与一类组合和是否有闭形式的问题[J].数学学报(中文版),2007,50(4):831-840. 被引量:2
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  • 8GUILLERA J. Some binomial series obtained by the WZ method[ J ]. Adv in Applied Mathematics, 2002,29 : 599 - 603.
  • 9GUILLERA J. Generators of some Ramanujan's formulas [J]. The Ramanujan Journal, 2006,11 ( 1 ) :41 -48.
  • 10WILF H S. Accelerated series for Universal constants by WZ method[ J]. J of Discrete Mathematics and Theoretical Computer Science, 1999,3 : 189 - 192.

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