Building some symmetric Laguerre-Hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a Dirac measure at origin

M. Sghaier and J. Alaya

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-19

Abstract:

We show that if v is a symmetric regular Laguerre-Hahn linear form (functional), then the linear form u defined by u = − λ x − 2 v + δ 0 is also regular and symmetric Laguerre-Hahn linear form for every complex λ except for a discrete set of numbers depending on v . We explicitly give the coefficients of the second-order recurrence relation, the structure relation of the orthogonal sequence associated with u , and the class of the linear form u knowing that of v . Finally, we apply the above results to the symmetric associated form of the first order for the classical polynomials.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2006/070835.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2006/070835.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:070835

DOI: 10.1155/IJMMS/2006/70835

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().