On a polynomial sequence associated with the Bessel operator

Loureiro, Ana F. and Maroni, P. and Yakubovich, S. (2011) On a polynomial sequence associated with the Bessel operator. Proceedings of the American Mathematical Society . ISSN 0002-9939. (Submitted) (The full text of this publication is not available from this repository)

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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
Uncontrolled keywords: Bessel operator; orthogonal polynomials; Kontorovich-Lebedev transform
Subjects: Q Science > QA Mathematics (inc Computing science) > QA351 Special functions
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Ana F. Loureiro
Date Deposited: 11 Oct 2012 15:26
Last Modified: 04 Sep 2013 10:30
Resource URI: http://kar.kent.ac.uk/id/eprint/31566 (The current URI for this page, for reference purposes)
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