金达尔数和盖纳里数与多项式
Jindalrae and Gaenari numbers and polynomials
摘要：
本文的目的是研究与第一类和第二类Jindalrae-Stirling数有关的Jindalrae-Stirling数和Gaenari数及多项式。为此，我们首先引入第一类和第二类金达拉-斯特林数作为第一类和第二类退化斯特林数概念的推广，并推导出涉及这些特殊数的几个关系。然后我们引入了Jindaldam数和Gaenari数以及多项式，并得到了与这些数和多项式相关的一些显式表达式和恒等式。此外，我们解释了我们的结果，使用影演算。
英文摘要：
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.
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