RT Journal Article
T1 Perturbations of Laguerre-Hahn functional: modification by the derivative of a Dirac delta
A1 Dueñas Ruiz, Herbert Alonso
A1 Marcellán Español, Francisco José
A1 Prianes, Eduardo
AB 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.
PB Taylor & Francis
SN 1065-2469 (Print)
SN 1476-8291 (Online)
YR 2009
FD 2009-01
LK https://hdl.handle.net/10016/5911
UL https://hdl.handle.net/10016/5911
LA eng
NO 19 pages, no figures.-- MSC2000 code: 33C47.
NO MR#: MR2492206 (2010a:33031)
NO Zbl#: Zbl pre05509604
NO The work of the first and second author has been supported by Comunidad de Madrid-UniversidadCarlos III de Madrid, grant CCG07-UC3M/ESP-3339. The work of the second author has been supported by Dirección General de Investigación, Ministerio de Educación y Ciencia of Spain, grant MTM2006-13000-C03-02.
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RD 1 sept. 2024