| WZ方法、积分表示与一类组合和的渐近估计问题 |
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| 引用本文： | 陈奕俊.WZ方法、积分表示与一类组合和的渐近估计问题[J].华南师范大学学报(自然科学版),2004,0(3):29-36,86. |
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| 作者姓名： | 陈奕俊 |
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| 作者单位： | 华南师范大学数学系,广东,广州,510631 |
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| 摘 要： | 利用WZ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．
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| 关 键 词： | 定超几何和 不定超几何和 闭形式 渐近估计 |
| 文章编号： | 1000-5463(2004)03-0029-08 |
WZ METHOD,INTEGRAL REPRESENTATION AND THE PROBLEM OF ASYMPTOTIC ESTIMATES FOR A KIND OF COMBINATORIAL SUM |
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| CHEN Yi - jun.WZ METHOD,INTEGRAL REPRESENTATION AND THE PROBLEM OF ASYMPTOTIC ESTIMATES FOR A KIND OF COMBINATORIAL SUM[J].Journal of South China Normal University(Natural Science Edition),2004,0(3):29-36,86. |
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| Authors: | CHEN Yi - jun |
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| Abstract: | 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. |
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| Keywords: | definite hypergeometric sum indefinite hypergeometric sum closed form asymptotic estimates |
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