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Perturbations of Laguerre-Hahn functional: modification by the derivative of a Dirac delta.
- Source :
- Integral Transforms & Special Functions; Jan2009, Vol. 20 Issue 1, p59-77, 19p, 1 Chart
- Publication Year :
- 2009
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10652469
- Volume :
- 20
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Integral Transforms & Special Functions
- Publication Type :
- Academic Journal
- Accession number :
- 35809262
- Full Text :
- https://doi.org/10.1080/10652460802493177