Loureiro, Ana F., Maroni, P. (2012) Polynomial sequences associated with the classical linear functionals. Numerical Algorithms, 60 (2). pp. 297-314. ISSN 1017-1398. (doi:10.1007/s11075-012-9573-y) (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:31541)
| 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/10.1007/s11075-012-9573-y |
Abstract
This work in mainly devoted to the study of polynomial sequences, not necessarily orthogonal, defined by integral powers of certain first order differential operators in deep connection to the classical polynomials of Hermite, Laguerre, Bessel and Jacobi. This connection is streamed from the canonical element of their dual sequences. Meanwhile new Rodrigues-type formulas for the Hermite and Bessel polynomials are achieved.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1007/s11075-012-9573-y |
| Uncontrolled keywords: | Orthogonal polynomials – Classical polynomials – Rodrigues-type formulas – Generalized Stirling numbers |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics 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: | 11 Oct 2012 14:28 UTC |
| Last Modified: | 05 Nov 2024 10:14 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/31541 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Loureiro, Ana F..
| Creator's ORCID: |
 https://orcid.org/0000-0002-4137-8822
|
|---|---|
| CReDIT Contributor Roles: |
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):
Altmetric
Altmetric
