A note on degenerate Stirling numbers and their applications. (English) Zbl 1401.11060
Summary: In this paper, we introduce degenerate Stirling numbers of the first kind which are different from the Carlitz’s type ones. We derive some identities involving these numbers and other degenerate special numbers, like degenerate Stirling numbers of the second kind, degenerate Bernoulli numbers, degenerate Euler numbers and degenerate Daehee numbers of the second kind.
MSC:
11B73 | Bell and Stirling numbers |
11B65 | Binomial coefficients; factorials; \(q\)-identities |
11B68 | Bernoulli and Euler numbers and polynomials |