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arXiv · 2210.00082

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

Diego Dominici·Juan José Moreno Balcázar
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Abstract

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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Diego Dominici, Juan José Moreno Balcázar. 2022-09-30. Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials. https://doi.org/10.1016/j.jat.2023.105918

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