Loureiro, Ana F. and Maroni, P. and Yakubovich, S. (2011) On a polynomial sequence associated with the Bessel operator. Proceedings of the American Mathematical Society . ISSN 0002-9939. (In press)
| The full text of this publication is not available from this repository. (Contact us about this Publication) |
Abstract
By means of the Bessel operator a polynomial sequence is constructed to which several properties are given. Among them, its explicit expression, the connection with the Euler numbers, its integral representation via the Kontorovich-Lebedev transform. Despite its non-orthogonality, it is possible to associate to the canonical element of its dual sequence a positive-definite measure as long as certain stronger constraints are imposed.
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Bessel operator; orthogonal polynomials; Kontorovich-Lebedev transform |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA351 Special functions |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |
| Depositing User: | Ana F. Loureiro |
| Date Deposited: | 11 Oct 2012 15:26 |
| Last Modified: | 20 Feb 2013 14:17 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/31566 (The current URI for this page, for reference purposes) |
- Depositors only (login required):
