论文标题
退化R相关的Stirling数字
Degenerate r-associated Stirling numbers
论文作者
论文摘要
对于任何正整数r，第二类的R相关的stirl数字列举了集合{1,2,3，...，n}的分区数量中的k非空置脱节子集，使每个子集至少包含至少R元素。我们介绍了第二种和第一类的堕落的R相关的Stirl数字。它们是第二种和第一类的r相关stirl数字的退化版本，并将其减少到第二种的退化stirling数字，而第一种则以r = 1的速度。本文的目的是为这两个数字得出复发关系。
For any positive integer r, the r-associated Stirling number of the second kind enumerates the number of partitions of the set{1,2,3,...,n} into k non-empty disjoint subsets such that each subset contains at least r elements. We introduce the degenerate r-associated Stirling numbers of the second kind and of the first kind. They are degenerate versions of the r-associated Stirling numbers of the second kind and of the first kind, and reduce to the degenerate Stirling numbers of the second kind and of the first kind for r=1. The aim of this paper is to derive recurrence relations for both of those numbers.
