论文标题
与R-LAH数字相关的R扩展的LAH贝尔数和多项式
r-extended Lah-Bell numbers and polynomials associated with r-Lah numbers
论文作者
论文摘要
本文的目的是研究与R-LAH数字相关的R $延伸的LAH贝尔数和多项式的一些基本特性，并显示R-延伸的LAH-BELL多项式的连接与泊松随机变量的上升段落时刻，甚至随着非模式的Integer 2R的变化而变化。在这里，第n个r-extended lah-bell数量计算了一组N+r元素的数量，可以将一组n+r元素划分为非空的线性线性子集中，以使r划分的元素必须以不同的线性有序的子集和r-ExtExtended lah-bell lah-bell lah-bell多项式为单位，这是R-Extended Lah-bell lah-bell数字的自然扩展。
The aim of this paper is to study some basic properties of the r$-extended Lah-Bell numbers and polynomials associated with r-Lah numbers and to show the connection between the r-extended Lah-Bell polynomials and the rising factorial moments of the Poisson random variable shifted by an even nonnegative integer 2r. Here the nth r-extended Lah-Bell number counts the number of ways a set of n+r elements can be partitioned into non-empty linearly ordered subsets such that r distinguished elements have to be in distinct linearly ordered subsets and the r-extended Lah-Bell polynomials are natural extensions of the r-extended Lah-Bell numbers.
