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)

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Official URL http://dx.doi.org/10.1111/sapm.12009 |

## Abstract

A slight modification of the Kontorovichâ€“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: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science |

Depositing User: | Stewart Brownrigg |

Date Deposited: | 07 Mar 2014 00:05 UTC |

Last Modified: | 12 Feb 2020 04:05 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/40536 (The current URI for this page, for reference purposes) |

Loureiro, Ana F.: | https://orcid.org/0000-0002-4137-8822 |

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