论文标题
设定分区的统一生成功能
Unified generating function for set partitions
论文作者
论文摘要
在这项工作中，我们为9种不同类型的设定分区定义了统一的生成功能，包括周期有序的设置分区。这种生成函数取决于4个参数。我们考虑此功能的属性，并为该功能生成的多项式提供组合解释。定义了两个新的组合统计数据，并为生成函数定义的参数化多项式系数提供了明确的公式。
In this work we define a unified generating functions for 9 different kinds of set partitions including cyclically ordered set partitions. Such generating function depends on 4 parameters. We consider property of this function and provide combinatorial explanation for polynomials generated by this function. Two new combinatorial statistics are defined and the explicit formulae given for coefficients of parametrized polynomials defined by the generating function.
