Journal
JOURNAL OF APPROXIMATION THEORY
Volume 195, Issue -, Pages 70-88Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jat.2014.01.004
Keywords
Orthogonal polynomials; Differential operators; Laguerre polynomials; Discrete Laguerre-Sobolev orthogonal polynomial
Categories
Funding
- Ministerio de Economia y Competitividad [MTM2012-36732-C03-03]
- Junta de Andalucia [FQM-262, FQM-4643, FQM-7276]
- Feder Funds (European Union)
Ask authors/readers for more resources
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. (C) 2014 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available