On a connection between the Pascal, Stirling and Vandermonde matrices
In this paper, we are going to study some additional relations between the Stirling matrix Sn S n and the Pascal matrix Pn P n . Also the representation for the matrix Tn T n and T n - 1 in terms of sn s n and Sn S n will be considered. Consequently, this will give an answer to an open problem proposed by EI-Mikkawy [On a connection between the Pascal, Vandermonde and Stirling matricesII, Appl. Math. Comput. 146 (2003) 759769].
stirling matrix pascal matrix stirling number vandermonde matrix