论文标题
Jindalrae和Gaenari数字和多项式
Jindalrae and Gaenari numbers and polynomials
论文作者
论文摘要
本文的目的是研究与第一类和第二类的金纳里人数字和多项式有关的数字和多项式。为此,我们首先将第一类和第二种的Jindalrae-strirling数字作为第一类和第二类的退化stirling数字的扩展,并推断出涉及这些特殊数字的几个关系。然后,我们介绍Jindalrae和Gaenari数字和多项式,并获得与这些数字和多项式相关的一些显式表达式和身份。此外,我们通过使用umbral演算来解释我们的结果。
The aim of this paper is to study Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae-Stirling numbers of the first and second kinds. For this purpose, we first introduce Jindalrae-Stirling numbers of the first and second kinds as extensions of the notions of the degenerate Stirling numbers of the first and second kinds, and deduce several relations involving those special numbers. Then we introduce Jindalrae and Gaenari numbers and polynomials and obtain some explicit expressions and identities associated with those numbers and polynomials. In addition, we interpret our results by using umbral calculus.