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利用WZ方法“形式地”计算一个含参变量积分的极限的注记 被引量:3

REMARKS ON INFORMAL EVALUATION FOR THE LIMIT OF AN INTEGRAL WITH PARAMETER BY USING WZ-METHOD
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摘要 利用W Z方法给出了含参变量积分的极限■的一个"形式的"计算,针对计算过程中产生的一些问题,对相关定理的内容做了补充说明,提出了一个值得思考和研究的问题. An informal evaluation for the limit of an integral with parameter ε:■ is obtained by using WZ-method.Some complementary remarks being associated with the related theorem,are added according to the questions arising from the procedure of the evaluation.In addition,an open problem has been proposed.
作者 陈奕俊
出处 《华南师范大学学报(自然科学版)》 CAS 北大核心 2011年第4期43-44,53,共3页 Journal of South China Normal University(Natural Science Edition)
关键词 WZ方法 含参变量积分 极限 WZ-method definite integral with parameter limit
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参考文献6

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二级参考文献21

  • 1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),2004,36(3):29-36. 被引量:4
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共引文献4

同被引文献23

  • 1赵普军.例谈两种不同情况下含参积分的极限求法[J].科技风,2008(1):80-80. 被引量:1
  • 2陈飞跃.几类含参变量积分的极限的证明[J].高等数学研究,2005,8(6):38-40. 被引量:1
  • 3WILF H S, ZEILBERGER D. Rational functions certify combinatorial identities [ J]. J of Amer Math Soc, 1990, 3 : 147 - 158.
  • 4PETKOVSEK M, WILF H S, ZEILBERGER D. A = B [ M ]. Massachusetts : A K Peters, 1996.
  • 5BORWEIN J, BAILEY I). Mathematics by experiment: Plausible reasoning in the 21st century [ M ]. 2nd ed. Mas- sachusetts :A K Peters,2008.
  • 6ALMKVIST G, ZEILBERGER D. The method of differen- tiating under the integral sign[ J]. J of Symbolic Computa- tion, 1990,10:571 - 591.
  • 7ANDREWS G E, ASKEY R, ROY R. Special functions [ M ]. New York: Cambridge University Press, 1999.
  • 8DUISTERMAAT J J, KOLK J A C. Multidimensional real analysis I : Differentiation [ M ]. New York: Cambridge U-niversity Press, 2004.
  • 9MELZAK Z A. Companion to concrete mathematics: Mathematical techniques and various applications [ M ]. New York : John Wiley&Sons, Inc, 1973.
  • 10IWASAKI K, KIMURA H, SHIMOMURA S, et al. From gauss to painlev6:A modem theory of special functions [ M ]. Braunschweig : Vieweg - Verlag, 1991.

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