Loureiro, Ana F. and Maroni, P. and 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. (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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Official URL http://www.ams.org/journals/proc/2014-142-02/S0002... |
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 |
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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: | 11 Oct 2012 15:26 UTC |
Last Modified: | 20 May 2015 20:19 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/31566 (The current URI for this page, for reference purposes) |
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- On a polynomial sequence associated with the Bessel operator. (deposited 11 Oct 2012 15:26) [Currently Displayed]
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