On a nonorthogonal polynomial sequence associated with Bessel operator
Classical Analysis and ODEs
2011-04-21 v1
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.
Cite
@article{arxiv.1104.4055,
title = {On a nonorthogonal polynomial sequence associated with Bessel operator},
author = {Ana F. Loureiro and P. Maroni and S. Yakubovich},
journal= {arXiv preprint arXiv:1104.4055},
year = {2011}
}