Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866929696157990912 |
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| author | Dominici, Diego Balcázar, Juan José Moreno |
| author_facet | Dominici, Diego Balcázar, Juan José Moreno |
| contents | 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 this orthogonal polynomials where the falling factorial polynomials play an important role. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00082 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials Dominici, Diego Balcázar, Juan José Moreno Classical Analysis and ODEs 46E39 (primary), 33C47, 39A22 (secondary) 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 this orthogonal polynomials where the falling factorial polynomials play an important role. |
| title | Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials |
| topic | Classical Analysis and ODEs 46E39 (primary), 33C47, 39A22 (secondary) |
| url | https://arxiv.org/abs/2210.00082 |