退化斯特林数研究

IF 1 Q1 MATHEMATICS

European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.5011

Dae San Kim, Taekyun Kim, J. Kwon

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引用次数: 0

摘要

本文考虑了两种斯特林数，包括第一种无符号退化斯特林数、第二种退化斯特林数、第一种无符号退化r-斯特林数和第二种退化r-斯特林数。本文的目的是利用生成函数进一步研究这些斯特林数的明确表达式、一些等式和等价关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Study on Degenerate Stirling Numbers

In this paper, we consider various Stirling numbers of both kinds, including the unsigned degenerate Stirling numbers of the first kind, the degenerate Stirling numbers of the second kind, the unsigned degenerate r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the second kind. The aim of this paper is by using generating functions to further study explicit expressions, some identities and equivalent relations for those Stirling numbers.

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来源期刊

European Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

1.30

自引率

28.60%

发文量

156