Loureiro, Ana F., Xu, Kuan (2019) Volterra-type convolution of classical polynomials. Mathematics of Computation, 88 . pp. 2351-2381. ISSN 0025-5718. E-ISSN 1088-6842. (doi:10.1090/mcom/3427) (KAR id:66954)
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| Official URL https://doi.org/10.1090/mcom/3427 |
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Abstract
We present a general framework for calculating the Volterra-type convolution of polynomials from an arbitrary polynomial sequence {Pk(x)}k?0 with degPk(x)=k. Based on this framework, series representations for the convolutions of classical orthogonal polynomials, including Jacobi and Laguerre families, are derived, along with some relevant results pertaining to these new formulas.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1090/mcom/3427 |
| Uncontrolled keywords: | convolution, Volterra convolution integral, orthogonal polynomials, Jacobi polynomials, Gegenbauer polynomials, Legendre polynomials, Chebyshev polynomials, Laguerre polynomials |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus 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: | 08 May 2018 21:07 UTC |
| Last Modified: | 16 Feb 2021 13:54 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/66954 (The current URI for this page, for reference purposes) |
| Loureiro, Ana F.: |  https://orcid.org/0000-0002-4137-8822 |
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