1 citations · 1 across the 4 of their papers we have counts for
5 papers
Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
Carlos Hermoso, Edmundo J. Huertas, Alberto Lastra +1
It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed a…
Associated orthogonal polynomials of the first kind and Darboux transformations
Juan C. García-Ardila, Francisco Marcellán, Paul H. Villamil-Hernández
Let $\un,$ be a quasi-definite linear functional defined on the space of polynomials For such a functional we can define a sequence of monic orthogonal polynomials (S…
Orthogonality of quasi-orthogonal polynomials
Cleonice F. Bracciali, Francisco Marcellán, Serhan Varma
A result of Pólya states that every sequence of quadrature formulas with nodes and positive numbers converges to the integral of a continuous function provi…
Matrix biorthogonal polynomials, associated polynomials and functions of the second kind
Amilcar Branquinho, Juan Carlos García-Ardila, Francisco Marcellán
In this work the interplay between matrix biorthogonal polynomials with respect to a matrix of linear functionals, the -th associated matrix polynomials and the second kind matr…
Ratio asymptotic for bi-orthogonal matrix polynomials with unbounded recurrence coefficients
Amilcar Branquinho, Juan Carlos García-Ardila, Francisco Marcellán
In this work is presented a study on matrix biorthogonal polynomials sequences that satisfy a nonsymmetric recurrence relation with unbounded coefficients. The ratio asymptotic for…