Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials

In this paper we tackle the asymptotic behavior of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator Δ. Concretely, we treat the generalized Charlier weights in the framework of Δ-Sobolev orthogonality. We obtain an asymptotic expansion for...

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Bibliographic Details
Published inJournal of approximation theory Vol. 293; p. 105918
Main Authors Dominici, Diego, Moreno-Balcázar, Juan José
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.09.2023
Subjects
Asymptotic analysis
Discrete semiclassical orthogonal polynomials
Nonlinear difference equations
Sobolev spaces
Nonlinear difference equations
Discrete semiclassical orthogonal polynomials
Asymptotic analysis
Sobolev spaces
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Summary:In this paper we tackle the asymptotic behavior of a family of orthogonal polynomials with respect to a nonstandard inner product involving the forward operator Δ. Concretely, we treat the generalized Charlier weights in the framework of Δ-Sobolev orthogonality. We obtain an asymptotic expansion for these orthogonal polynomials where the falling factorial polynomials play an important role.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2023.105918