Abstract
AbstractWe derive new congruences bounding r-Bell and derangement polynomials, which generalize the existing ones, while the presented approach is significantly simpler and, at the same time, more informative. Namely, we provide precise identities that imply the congruences and explain somehow their nature.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Reference23 articles.
1. Belbachir, H., Mihoubi, M.: A generalized recurrence for Bell polynomials: an alternate approach to Spivey and Gould-Quaintance formulas. Eur. J. Comb. 30(5), 1254–1256 (2009)
2. Broder, A.Z.: The $$r$$-Stirling numbers. Discret. Math. 49(3), 241–259 (1984)
3. Carlitz, L.: Weighted Stirling numbers of the first and second kind I. Fibonacci Q. 18(2), 147–162 (1980)
4. Carlitz, L.: Weighted Stirling numbers of the first and second kind II. Fibonacci Q. 18(3), 242–257 (1980)
5. Clarke, R.J., Sved, M.: Derangements and Bell numbers. Math. Mag. 66(5), 299–303 (1993)
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献