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On a difference equation for generalizations of Charlier polynomials

经典分析与常微分方程 2007-05-23 v1

摘要

In this paper we obtain a set of polynomials which are orthogonal with respect to the classical discrete weight function of the Charlier polynomials at which an extra point mass at x=0 is added. We construct a difference operator of infinite order for which these new discrete orthogonal polynomials are eigenfunctions.

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引用

@article{arxiv.math/9908144,
  title  = {On a difference equation for generalizations of Charlier polynomials},
  author = {Herman Bavinck and Roelof Koekoek},
  journal= {arXiv preprint arXiv:math/9908144},
  year   = {2007}
}

备注

11 pages