Some identities and properties on degenerate Stirling numbers

2022/01/19 by Kim, Taekyun, Kim, Dae san
#11B73 #11B83 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2201.07431

Abstract

The aim of this paper is by using generating functions to further study some identities and properties on the degenerate Stirling numbers of the second kind, the degenerate r-Stirling numbers of the second kind, the degenerate Stirling numbers of the first kind and the unsigned degenerate Stirling numbers of the first kind.

Related

• Some identities involving degenerate r-Stirling numbers
• Combinatorial identities related to degenerate Stirling numbers of the second kind
• Study on r-truncated degenerate stirling numbers of the second kind
• Extended degenerate Stirling numbers of the second kind and extended degenerate Bell polynomials
• A note on degenerate Stirling numbers of the first kind