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

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 {\Delta}. Concretely, we treat the generalized Charlier weights in the framework of {\Delta}--Sobolev orthogonality. We obtain an asymptoti...

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Veröffentlicht in:arXiv.org 2022-09
Hauptverfasser: Dominici, Diego, Moreno Balcázar, Juan José
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Asymptotic properties
Asymptotic series
Orthogonality
Polynomials
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description 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 {\Delta}. Concretely, we treat the generalized Charlier weights in the framework of {\Delta}--Sobolev orthogonality. We obtain an asymptotic expansion for this orthogonal polynomials where the falling factorial polynomials play an important role.
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Asymptotic series
Orthogonality
Polynomials
title Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
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