# 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) (KAR id:48597)

 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/10.1090/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 10.1090/S0002-9939-2013-11658-8 Bessel operator; orthogonal polynomials; Kontorovich-Lebedev transform Q Science > QA Mathematics (inc Computing science) > QA351 Special functions Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science Ana F. Loureiro 21 May 2015 06:40 UTC 17 Aug 2022 10:58 UTC https://kar.kent.ac.uk/id/eprint/48597 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-4137-8822