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| Format: | Preprint |
| Veröffentlicht: |
2018
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| Online-Zugang: | https://arxiv.org/abs/1807.01558 |
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| _version_ | 1866910558006018048 |
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| author | Horozov, Emil Shapiro, Boris Tater, Milos |
| author_facet | Horozov, Emil Shapiro, Boris Tater, Milos |
| contents | We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials satisfying linear recurrence relations of finite length; the classical case corresponds to the 3-term recurrence relations with real coefficients subject to some extra restrictions. We formulate a general conjecture and prove it in the first non-trivial case of operators of order 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_01558 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | In search of higher Bochner theorem Horozov, Emil Shapiro, Boris Tater, Milos Mathematical Physics High Energy Physics - Theory Classical Analysis and ODEs 34L20 (Primary), 30C15, 33E05 (Secondary) We initiate the study of a natural generalisation of the classical Bochner-Krall problem asking which linear ordinary differential operators possess sequences of eigenpolynomials satisfying linear recurrence relations of finite length; the classical case corresponds to the 3-term recurrence relations with real coefficients subject to some extra restrictions. We formulate a general conjecture and prove it in the first non-trivial case of operators of order 3. |
| title | In search of higher Bochner theorem |
| topic | Mathematical Physics High Energy Physics - Theory Classical Analysis and ODEs 34L20 (Primary), 30C15, 33E05 (Secondary) |
| url | https://arxiv.org/abs/1807.01558 |