On a nonorthogonal polynomial sequence associated with Bessel operator

Details On a nonorthogonal polynomial sequence associated with Bessel operator On a nonorthogonal polynomial sequence associated with Bessel operator

2011-04-20

arxiv.org/abs/1104.4055v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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