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. 467482. ISSN 00029939. EISSN 10886826. (doi:10.1090/S000299392013116588) (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)
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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/S000299392013116588 
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 KontorovichLebedev transform. Despite its
nonorthogonality, it is possible to associate to the canonical element of its dual sequence a
positivedefinite measure as long as certain stronger constraints are imposed.
Item Type:  Article 

DOI/Identification number:  10.1090/S000299392013116588 
Uncontrolled keywords:  Bessel operator; orthogonal polynomials; KontorovichLebedev transform 
Subjects:  Q Science > QA Mathematics (inc Computing science) > QA351 Special functions 
Divisions:  Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science 
Depositing User:  Ana F. Loureiro 
Date Deposited:  21 May 2015 06:40 UTC 
Last Modified:  17 Aug 2022 10:58 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/48597 (The current URI for this page, for reference purposes) 
Loureiro, Ana F.:  https://orcid.org/0000000241378822 
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On a polynomial sequence associated with the Bessel operator. (deposited 11 Oct 2012 15:26)
 On a polynomial sequence associated with the Bessel operator. (deposited 21 May 2015 06:40) [Currently Displayed]
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