Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606948 | Journal of Approximation Theory | 2015 | 19 Pages |
Abstract
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Laguerre-Sobolev bilinear form with mass point at zero. In particular we construct the orthogonal polynomials using certain Casorati determinants. Using this construction, we prove that they are eigenfunctions of a differential operator (which will be explicitly constructed). Moreover, the order of this differential operator is explicitly computed in terms of the matrix which defines the discrete Laguerre-Sobolev bilinear form.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Antonio J. Durán, Manuel D. de la Iglesia,