Loureiro, Ana F. and Maroni, P. (2012) Polynomial sequences associated with the classical linear functionals. Numerical Algorithms, 60 (2). pp. 297-314. ISSN 1017-1398.
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| 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 |
|---|---|
| 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: | 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 14:28 |
| Last Modified: | 12 Feb 2013 16:35 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/31541 (The current URI for this page, for reference purposes) |
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