论文标题
关于退化毁灭多项式和数字的注释
A note on degenerate derangement polynomials and numbers
论文作者
论文摘要
在本文中，我们研究了退化的毁灭多项式和数字，研究这些多项式和数字的某些特性，并探索它们与退化伽马分布的联系。更详细地，我们得出了它们的显式表达，复发关系以及一些涉及退化的毁灭多项式和数字以及其他特殊多项式和数字的身份，其中包括完全退化的钟形多项式，堕落的fubini fubini fubini fubini tolyenmials和两种类型的变性数量。我们还表明，这些多项式和数字与退化伽马分布的某些变体的矩相连。
In this paper, we study the degenerate derangement polynomials and numbers, investigate some properties of those polynomials and numbers and explore their connections with the degenerate gamma distributions. In more detail, we derive their explicit expressions, recurrence relations and some identities involving the degenerate derangement polynomials and numbers and other special polynomials and numbers, which include the fully degenerate Bell polynomials, the degenerate Fubini polynomials and the degenerate Stirling numbers of both kinds. We also show that those polynomials and numbers are connected with the moments of some variants of the degenerate gamma distributions.
