Discrete Orthogonality Relations for the Multi-Indexed Orthogonal Polynomials in Discrete Quantum Mechanics with Pure Imaginary Shifts
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866917698473033728 |
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| author | Odake, Satoru |
| author_facet | Odake, Satoru |
| contents | The discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts are investigated. We show that the discrete orthogonality relations hold for the case-(1) multi-indexed orthogonal polynomials of continuous Hahn, Wilson and Askey-Wilson types, and conjecture their normalization constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_09358 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Discrete Orthogonality Relations for the Multi-Indexed Orthogonal Polynomials in Discrete Quantum Mechanics with Pure Imaginary Shifts Odake, Satoru Mathematical Physics High Energy Physics - Theory Classical Analysis and ODEs Exactly Solvable and Integrable Systems The discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts are investigated. We show that the discrete orthogonality relations hold for the case-(1) multi-indexed orthogonal polynomials of continuous Hahn, Wilson and Askey-Wilson types, and conjecture their normalization constants. |
| title | Discrete Orthogonality Relations for the Multi-Indexed Orthogonal Polynomials in Discrete Quantum Mechanics with Pure Imaginary Shifts |
| topic | Mathematical Physics High Energy Physics - Theory Classical Analysis and ODEs Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2112.09358 |