The aim of this paper is to study the unsigned degenerate r-Stirling numbers of the first kind as degenerate versions of the r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the second kind as those of the r-Stirling numbers of the second kind. For the degenerate r-Stirling numbers of both kinds, we derive recurrence relations, generating functions, explicit expressions, and some identities involving them.

中文翻译：

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关于退化r-斯特林数的注记

本文的目的是研究第一类的无符号简并r-斯特林数作为第一类r-斯特林数的简并形式，第二类的简并r-斯特林数作为r-斯特林的简并形式。第二种数字。对于这两种简并的r-斯特林数，我们得出递归关系，生成函数，显式表达式以及涉及它们的某些恒等式。