论文标题
由堕落正常异常产生的退化R-贝尔多项式
Degenerate r-Bell polynomials arising from degenerate normal odering
论文作者
论文摘要
最近，金正日引入了退化的R-贝尔多项式，并研究了一些源自Umbral conculus的结果。本文的目的是通过玻色子操作员研究退化R-bell多项式的某些特性。特别是，我们获得了两个表达式，用于| z |中退化R-bell多项式的生成函数。 ，以及退化的R-孔数字的复发关系和类似Dobinski的公式。这些是根据玻色子运算符的数字算子的退化积分功率的退化正常顺序得出的，在玻色子运算符中，第二种的退化R-SIRLing数字显示为系数。
Recently, Kim-Kim introduced the degenerate r-Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r-Bell polynomials and numbers via boson operators. In particular, we obtain two expressions for the generating function of the degenerate r-Bell polynomials in |z| , and a recurrence relation and Dobinski-like formula for the degenerate r-Bell numbers. These are derived from the degenerate normal ordering of a degenerate integral power of the number operator in terms of boson operators where the degenerate r-Stirling numbers of the second kind appear as the coefficients.
