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19 April 2024

» arxiv » 1104.4055

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On a nonorthogonal polynomial sequence associated with Bessel operator
Ana F. Loureiro ; P. Maroni ; S. Yakubovich ;
Date:	20 Apr 2011
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.
Source:	arXiv, 1104.4055
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