On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915397921406976 |
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| author | Ismail, Mourad E. H. Saad, Nasser |
| author_facet | Ismail, Mourad E. H. Saad, Nasser |
| contents | This work provides a detailed study of Meixner-Pollaczek polynomials and employs the central difference operator to study the Sturm-Liouville problem. It presents two linearly independent solutions to the recursion relation, along with the associated difference equations. Additionally, the establishment of second-kind functions is discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems Ismail, Mourad E. H. Saad, Nasser Classical Analysis and ODEs Mathematical Physics 39A70, 34B24, 33C45, 33C47, 33C90 This work provides a detailed study of Meixner-Pollaczek polynomials and employs the central difference operator to study the Sturm-Liouville problem. It presents two linearly independent solutions to the recursion relation, along with the associated difference equations. Additionally, the establishment of second-kind functions is discussed. |
| title | On the Meixner-Pollaczek polynomials and the Sturm-Liouville problems |
| topic | Classical Analysis and ODEs Mathematical Physics 39A70, 34B24, 33C45, 33C47, 33C90 |
| url | https://arxiv.org/abs/2507.13583 |