Determinants Involving Generalized Stirling Numbers

Yidong Sun1, Xiaoxia Wang2
1Department of Mathematics, Dalian Maritime University, 116026 Dalian, P.R. China
2Department of Mathematics, Shanghai University, 200444 Shanghai, P. R. China

Abstract

In a previous paper, the first author introduced two classes of generalized Stirling numbers, \(s_m(n,k,p), S_m(n,k,p)\) with \(m = 1\) or \(2\), called \(p\)-Stirling numbers. In this paper, we discuss their determinant properties.