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Differential equations for discrete Laguerre–Sobolev orthogonal polynomials
- Source :
- Journal of Approximation Theory. 195:70-88
- Publication Year :
- 2015
- Publisher :
- Elsevier BV, 2015.
-
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.
Details
- ISSN :
- 00219045
- Volume :
- 195
- Database :
- OpenAIRE
- Journal :
- Journal of Approximation Theory
- Accession number :
- edsair.doi...........9074d967353f1f7e9942d9d9196039a1