Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Aptekarev, A. I. Denisov, S. A. Yattselev, M. L. |
| author_facet | Aptekarev, A. I. Denisov, S. A. Yattselev, M. L. |
| contents | In this work, we establish strong asymptotics of multiple orthogonal polynomials of the second type for Angelesco systems with measures that satisfy Szegő conditions. We consider multi-indices that converge to infinity in the non-marginal directions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14391 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions Aptekarev, A. I. Denisov, S. A. Yattselev, M. L. Classical Analysis and ODEs 47B36, 47A10, 42C05 In this work, we establish strong asymptotics of multiple orthogonal polynomials of the second type for Angelesco systems with measures that satisfy Szegő conditions. We consider multi-indices that converge to infinity in the non-marginal directions. |
| title | Strong Asymptotics of Multiple Orthogonal Polynomials for Angelesco Systems. Part I: Non-Marginal Directions |
| topic | Classical Analysis and ODEs 47B36, 47A10, 42C05 |
| url | https://arxiv.org/abs/2404.14391 |