Krall--type Orthogonal Polynomials in several variables
Classical Analysis and ODEs
2008-01-03 v1
Abstract
For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional in several variables, explicit formulas of orthogonal polynomials are derived from the orthogonal polynomials associated with the moment functional. Explicit formula for the reproducing kernel is also derived and used to establish certain inequalities for classical orthogonal polynomials.
Keywords
Cite
@article{arxiv.0801.0065,
title = {Krall--type Orthogonal Polynomials in several variables},
author = {Lidia Fernandez and Teresa E. Perez and Miguel A. Pinar and Yuan Xu},
journal= {arXiv preprint arXiv:0801.0065},
year = {2008}
}
Comments
10 pages