Abstract
Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced. In this paper, we consider the new type degenerate Bell polynomials and numbers, and obtain several expressions and identities on those polynomials and numbers. In more detail, we obtain an expression involving the Stirling numbers of the second kind and the generalized falling factorial sequences, Dobinski type formulas, an expression connected with the Stirling numbers of the first and second kinds, and an expression involving the Stirling polynomials of the second kind.
Funder
National Research Foundation of Korea
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference26 articles.
1. Degenerate Stirling, Bernoulli and Eulerian numbers;Carlitz;Util. Math.,1979
2. A note on degenerate central factorial polynomials of the second kind;Dolgy;Adv. Stud. Contemp. Math. (Kyungshang),2019
3. On finite-times degenrate Cauthy numbers and polynomials;Jeong;Adv. Diff. Equ.,2015
4. A note on degenerate Stirling numbers of the first kind;Kim;Proc. Jangjeon Math. Soc.,2018
5. Degenerate central factorial numbers of the second kind
Cited by
7 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