Loureiro, Ana F., Maroni, P., Yakubovich, S. (2014) On a polynomial sequence associated with the Bessel operator. Proceedings of the American Mathematical Society, 142 . pp. 467-482. ISSN 0002-9939. E-ISSN 1088-6826. (doi:10.1090/S0002-9939-2013-11658-8) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:48597)
This is the latest version of this item.
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1090/S0002-9939-2013-11658-8 |
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 |
|---|---|
| DOI/Identification number: | 10.1090/S0002-9939-2013-11658-8 |
| Uncontrolled keywords: | Bessel operator; orthogonal polynomials; Kontorovich-Lebedev transform |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA351 Special functions |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Ana F. Loureiro |
| Date Deposited: | 21 May 2015 06:40 UTC |
| Last Modified: | 05 Nov 2024 10:32 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/48597 (The current URI for this page, for reference purposes) |
Available versions of this item
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On a polynomial sequence associated with the Bessel operator. (deposited 11 Oct 2012 15:26)
- On a polynomial sequence associated with the Bessel operator. (deposited 21 May 2015 06:40) [Currently Displayed]
University of Kent Author Information
Loureiro, Ana F..
| Creator's ORCID: |
 https://orcid.org/0000-0002-4137-8822
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