$\lambda$-analogues of r-Stirling numbers of the first kind

Abstract

In this paper, we study $\lambda$-analogues of the r-Stirling numbers of the first kind which have close connections with the r-Stirling numbers of the first kind and $\lambda$-Stirling numbers of the first kind. Specifically, we give the recurrence relations for these numbers and show their connections with the $\lambda$-Stirling numbers of the first kind and higher-order Daehee polynomials.