论文标题
$ r $ $ $ stirling的第二种$λ$ -Analogues上的某些身份
Some identities on $λ$-analogues of $r$-stirling numbers of the second kind
论文作者
论文摘要
最近，金·金（Kim-kim）研究了$ r $ $ $ stirling数字的$λ$ -Analogues。本文的目的是介绍第二类$ r $ stirling数字的$λ$ - 纳尔群人，并研究这些数字上的某些属性，复发关系和某些身份。我们还介绍了第二个惠特尼型$ r $ r $ r $ stirling的$λ$ -Analogues，并获得了与第二种R-Sirling数字的$λ$ -Analogues相似的结果。此外，我们考虑了多项式多项式的$λ$ - 分析，并推断出类似Dobinski的公式。
Recently, the $λ$-analogues of $r$-Stirling numbers of the first kind were studied by Kim-Kim. The aim of this paper is to introduce the $λ$-analogues of $r$-Stirling numbers of the second kind and to investigate some properties, recurrence relations and certain identities on those numbers. We also introduce the $λ$-analogues of Whitney-type $r$-Stirling numbers of the second and derive similar results to the case of the $λ$-analogues of r-Stirling numbers of the second kind. In addition, we consider the $λ$-analogues of Dowling polynomials and deduce a Dobinski-like formula.
