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On a Generalization of Some Restrictive Distribution Theorems

On a Generalization of Some Restrictive Distribution Theorems
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摘要 This paper is on a distribution question of Ⅰ type in the combinatorics (see: 'Ke Zhao, Wei WanDi, combinatorial theory, science press, 1981. '). Suppose n distrinct balls, m distinct boxes. The capacity set of every box is Now,place the n balls into the m boxes. Thenumber of distinct placed ways is expressed by , and simply by And it is called the distribution number.Main result is:Theorem The exponential generating function of sequence isThus .there is the recurrence relationhere (integer set).
作者 田震 张松
机构地区 Department of
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 1995年第3期78-85,共8页 数学季刊(英文版)
关键词 the distribution of Ⅰtype exponential generating function COMBINATORICS 限量分配定理 组合理论 指数型母函数
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参考文献3

  • 1Ke Zhao,Combinatorial theory (in Chin),1981年
  • 2Wei Wandi,科学通报,1980年,22卷,1011页
  • 3田震,河南大学学报

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