18 citations · 18 across the 6 of their papers we have counts for
7 papers
Linearization and connection coefficients of polynomial sequences: A matrix approach
Luis Verde-Star
For a sequence of polynomials in one real or complex variable, where has degree , for , we find explicit expressions and recurrence relations for infi…
Discrete orthogonality of the polynomial sequences in the -Askey scheme
Luis Verde-Star
We obtain weight functions associated with -linear and -quadratic lattices that yield discrete orthogonality with respect to a quasi-definite moment functional for the Askey-…
Discrete orthogonality of hypergeometric polynomial sequences on linear and quadratic lattices
Luis Verde-Star
We present a method to obtain weight functions associated with linear and quadratic lattices that yield discrete orthogonality with respect to a quasi-definite moment functional of…
A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences
Luis Verde-Star
We construct a set of orthogonal polynomial sequences that contains all the families in the Askey scheme and the -Askey scheme. The polynomial sequences in are solutions…
A class of q-orthogonal polynomial sequences that extends the q-Askey scheme
Luis Verde-Star
We obtain new explicit formulas for the recurrence coefficients of the q-orthogonal polynomial sequences in a class that extends the q-Askey scheme. Our formulas express the recurr…
Elementary triangular matrices and inverses of -Hessenberg and triangular matrices
Luis Verde-Star
We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inv…
An algorithm for the Cartan-Dieudonné theorem on generalized scalar product spaces
M. A. Rodríguez-Andrade, G. Aragón-González, J. L. Aragón +1
We present an algorithmic proof of the Cartan-Dieudonné theorem on generalized real scalar product spaces with arbitrary signature. We use Clifford algebras to compute the factoriz…