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We introduce a new family of generalized Schröder matrices from the Riordan arrays which are obtained by counting of the weighted lattice paths with steps $E = (1, 0)$ , $D = (1, 1)$ , $N = (0, 1)$ , and $D^{'} = (1, 2)$ and not going above the line $y = x$ . We also consider the half of the generalized Delannoy matrix which is derived from the enumeration of these lattice paths with no restrictions. Correlations between these matrices are considered. By way of illustration, we give several examples of Riordan arrays of combinatorial interest. In addition,...

Green's relations for stochastic matrices

James R. Wall (1975)

Czechoslovak Mathematical Journal

Displaying 1 – 6 of 6

Gauss sums and the matrix equation X X T = 0 over fields of characteristic two

Gauss sums and the number of solutions to the matrix equation X A X T = 0 over G F ( 2 y )

Generalized Green's functions for higher order boundary value matrix differential systems.

Generalized Matrices

Generalized Schröder matrices arising from enumeration of lattice paths

Green's relations for stochastic matrices

Currently displaying 1 – 6 of 6

Gauss sums and the matrix equation $X X^{T} = 0$ over fields of characteristic two

Gauss sums and the number of solutions to the matrix equation $X A X^{T} = 0$ over $G F (2^{y})$