A matrix characterization for the Dν-semiclassical and Dν-coherent orthogonal polynomials

1Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.

This artice is free to access.

Abstract

We present a new structure relation for the sequence of orthogonal polynomials associated with a Dν-semiclassical linear functional of class s, and then we use it to obtain a matrix characterization of the Dν-semiclassical orthogonal polynomials in terms of the Jacobi matrix associated with the multiplication operator in the basis of orthonormal polynomials, and the nonsingular lower triangular matrix that represents the orthogonal polynomials with respect to some bases of polynomials. We also provide a matrix characterization of Dν-coherent pairs of linear functionals.

Author supplied keywords

Cite

CITATION STYLE

APA

Garza, L. G., Garza, L. E., Marcellán, F., & Pinzón-Cortés, N. C. (2015). A matrix characterization for the Dν-semiclassical and Dν-coherent orthogonal polynomials. Linear Algebra and Its Applications, 487, 242–259. https://doi.org/10.1016/j.laa.2015.09.014

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