Skip to main content
Kent Academic Repository

The Kontorovich-Lebedev transform as a map between d-orthogonal polynomials

Loureiro, Ana F., Yakubovich, S. (2013) The Kontorovich-Lebedev transform as a map between d-orthogonal polynomials. Studies in Applied Mathematics, 131 (3). pp. 229-265. ISSN 0022-2526. (doi:10.1111/sapm.12009) (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:40536)

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/10.1111/sapm.12009

Abstract

A slight modification of the Kontorovich–Lebedev transform is an auto-morphism on the vector space of polynomials. The action of this inline image-transform over certain polynomial sequences will be under discussion, and a special attention will be given to the d-orthogonal ones. For instance, the Continuous Dual Hahn polynomials appear as the inline image-transform of a 2-orthogonal sequence of Laguerre type. Finally, all the orthogonal polynomial sequences whose inline image-transform is a d-orthogonal sequence will be characterized: they are essencially semiclassical polynomials fulfilling particular conditions and d is even. The Hermite and Laguerre polynomials are the classical solutions to this problem.

Item Type: Article
DOI/Identification number: 10.1111/sapm.12009
Additional information: number of additional authors: 1;
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Stewart Brownrigg
Date Deposited: 07 Mar 2014 00:05 UTC
Last Modified: 16 Nov 2021 10:15 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/40536 (The current URI for this page, for reference purposes)

University of Kent Author Information

  • Depositors only (login required):

Total unique views for this document in KAR since July 2020. For more details click on the image.