Abstract The Pascal-type matrices obtained from the Stirling numbers of the first kind s(n,k) and of the second kind S(n,k) are studied, respectively. It is shown that these matrices can be… Expand

Abstract We summarise the progress which has been made since 1986 on the conjectures and open problems listed in H. Minc’s survey articles on the theory of permanents.

Abstract We prove that if D = ( g ( x ) , f ( x ) ) is an element of order 2 in the Riordan group then g ( x ) = ± exp [ Φ ( x , xf ( x ) ] for some antisymmetric function Φ ( x , z ) . Also we prove… Expand

Abstract An element of finite order in the Riordan group over the real field must have order 1 or 2. If we extend all the entries to be complex numbers then it may have any finite order. In the… Expand

We study involutions in the Riordan group, especially those with combinatorial meaning. We give a new determinantal criterion for a matrix to be a Riordan involution and examine several classes of… Expand