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arxiv: math/9908144 · v1 · pith:SGYSFNOS · submitted 1999-08-27 · math.CA

On a difference equation for generalizations of Charlier polynomials

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classification math.CA
keywords polynomialscharlierdifferencediscreteorthogonaladdedclassicalconstruct
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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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