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

Dueñas Ruiz, Herbert Alonso; Marcellán Español, Francisco José; Prianes, Eduardo

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

Author(s): Dueñas Ruiz, Herbert Alonso; Marcellán Español, Francisco José; Prianes, Eduardo

Publisher: Taylor & Francis

Issued date: 2009-01

Citation: Integral Transforms and Special Functions, 2009, vol. 20, n. 1, p. 59-77

ISSN: 1065-2469 (Print)
1476-8291 (Online)

DOI: 10.1080/10652460802493177

Sponsor: The work of the first and second author has been supported by Comunidad de Madrid-Universidad Carlos 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.

Review: PeerReviewed

Publisher version: http://dx.doi.org/10.1080/10652460802493177

Keywords: Orthogonal polynomials , Laguerre polynomials , Laguerre-Hahn polynomials , Derivative of a Dirac delta

URI: http://hdl.handle.net/10016/5911

Rights: © Taylor & Francis

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 functi [+]