New biorthogonal sequences generated by index integrals of the weight functions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911356507127808 |
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| author | Yakubovich, Semyon |
| author_facet | Yakubovich, Semyon |
| contents | We exhibit new biorthogonal sequences generated by index integrals of the squares of the modified Bessel functions and gamma functions. The composition orthogonality, involving differential operators is employed. Generalized Wilson polynomials are introduced. Some properties are investigated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_02866 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New biorthogonal sequences generated by index integrals of the weight functions Yakubovich, Semyon Classical Analysis and ODEs 44A15, 33C10, 33C52, 33C60 We exhibit new biorthogonal sequences generated by index integrals of the squares of the modified Bessel functions and gamma functions. The composition orthogonality, involving differential operators is employed. Generalized Wilson polynomials are introduced. Some properties are investigated. |
| title | New biorthogonal sequences generated by index integrals of the weight functions |
| topic | Classical Analysis and ODEs 44A15, 33C10, 33C52, 33C60 |
| url | https://arxiv.org/abs/2601.02866 |