Kim, Dae San; Kim, Taekyun; Jang, Gwang-Woo A note on degenerate Stirling numbers of the first kind. (English) Zbl 1439.11073 Proc. Jangjeon Math. Soc. 21, No. 3, 393-404 (2018). Summary: Recently, the degenerate Stirling numbers of the first kind were introduced. In this paper, we give some formulas for the degenerate Stirling numbers of the first kind in the terms of the complete Bell polynomials with higher-order harmonic number arguments. Also, we derive an identity connecting the degenerate Stirling numbers of the first kind and the degenerate derangement numbers by using probabilistic method. Cited in 9 Documents MSC: 11B73 Bell and Stirling numbers 11B83 Special sequences and polynomials 05A19 Combinatorial identities, bijective combinatorics Keywords:degenerate Stirling number of the first kind; degenerate Stirling number of the second kind; degenerate gamma function; degenerate derangement number PDFBibTeX XMLCite \textit{D. S. Kim} et al., Proc. Jangjeon Math. Soc. 21, No. 3, 393--404 (2018; Zbl 1439.11073) Full Text: arXiv