We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal polynomials. In so doing, we are led to introduce a family of polynomials, which includes the Boubaker polynomials, and a scaled version of the Chebyshev polynomials, using the techniques of Riordan arrays. We classify these polynomials in terms of the Chebyshev polynomials of the first and second ...

This paper establishes relationships between elliptic functions and Riordan arrays leading to new classes of which here are called arrays. In particular, the case of...

We define a new generalization of Gaussian Pell-Lucas polynomials. call it $d-$Gaussian Then we present the generating function and Binet formula for give matrix representation Using Riordan method, obtain factorizations Pascal involving

The bipartite case of the Bollob as and Koml os conjecture states that for every 0; > 0 there is an = ( 0; ) > 0 such that the following statement holds: If G is any graph with (G) n2 + n; then G contains as subgraphs all bipartite graphs, H; satisfying (H) 0 and b(H) n: Here b(H); the bandwidth of H, is the smallest b such that the vertices of H can be ordered as v1; : : : ; vn such that vi H ...

Riordan matrices are infinite lower triangular determined by a pair of formal power series over the real or complex field. These have been mainly studied as combinatorial objects with an emphasis placed on algebraic structure. The present paper contributes to linear discussion analysis means interaction properties algebra. Specifically, it is shown that if matrix A n×n pseudo-involution then si...