Publication:
Perturbations of Laguerre-Hahn functional: modification by the derivative of a Dirac delta

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/5911
ISSN: 1065-2469 (Print)
ISSN: 1476-8291 (Online)
DOI: 10.1080/10652460802493177
Files
perturbations_marcellan_itsf_2009_ps.pdf (159.02 KB)
Publication date
2009-01
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
In this paper, we consider a perturbation of a Laguerre-Hahn functional by adding a derivative of a Dirac delta. This transformation leaves invariant the family of Laguerre-Hahn linear functionals. We shall also analyse the class of the perturbed linear functional. Finally, we illustrate these perturbations by adding the derivative of a Dirac delta to the first kind associated functional of the classical Laguerre functional. The expression of the new orthogonal polynomials is obtained.
Description
19 pages, no figures.-- MSC2000 code: 33C47.
MR#: MR2492206 (2010a:33031)
Zbl#: Zbl pre05509604
Keywords
Orthogonal polynomials, Laguerre polynomials, Laguerre-Hahn polynomials, Derivative of a Dirac delta
Bibliographic citation
Integral Transforms and Special Functions, 2009, vol. 20, n. 1, p. 59-77
Collections
DM - GAMA - Artículos de Revistas