Skip to main content

A matrix approach for the semiclassical and coherent orthogonal polynomials

6Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.
Get full text
This PDF is freely available from an open access repository. It may not have been peer-reviewed.

Abstract

We obtain a matrix characterization of semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthogonal polynomials, and the lower triangular matrix that represents the orthogonal polynomials in terms of the monomial basis of polynomials. We also provide a matrix characterization for coherent pairs of linear functionals.

Cite

CITATION STYLE

APA

Garza, L. G., Garza, L. E., Marcellán, F., & Pinzón-Cortés, N. C. (2015). A matrix approach for the semiclassical and coherent orthogonal polynomials. Applied Mathematics and Computation, 256, 459–471. https://doi.org/10.1016/j.amc.2015.01.071

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free