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On a polynomial sequence associated with the Bessel operator

Loureiro, Ana F., Maroni, P., Yakubovich, S. (2014) On a polynomial sequence associated with the Bessel operator. Proceedings of the American Mathematical Society, 142 . pp. 467-482. ISSN 0002-9939. E-ISSN 1088-6826. (doi:10.1090/S0002-9939-2013-11658-8) (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)

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http://dx.doi.org/10.1090/S0002-9939-2013-11658-8

Abstract

By means of the Bessel operator a polynomial sequence is constructed to which several properties are given. Among them, its explicit expression, the connection with the Euler numbers, its integral representation via the Kontorovich-Lebedev transform. Despite its non-orthogonality, it is possible to associate to the canonical element of its dual sequence a positive-definite measure as long as certain stronger constraints are imposed.

Item Type: Article
DOI/Identification number: 10.1090/S0002-9939-2013-11658-8
Uncontrolled keywords: Bessel operator; orthogonal polynomials; Kontorovich-Lebedev transform
Subjects: Q Science > QA Mathematics (inc Computing science) > QA351 Special functions
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Ana F. Loureiro
Date Deposited: 21 May 2015 06:40 UTC
Last Modified: 29 May 2019 14:35 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/48597 (The current URI for this page, for reference purposes)

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