A conjecture of Gasper on $q$-ultraspherical polynomials
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912120726093824 |
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| author | Chen, Dandan Yin, Siyu |
| author_facet | Chen, Dandan Yin, Siyu |
| contents | In this paper we establish $q$-orthogonality relation for the continuous $q$-ultraspherical polynomials, which was considered by Gasper. Additionally, we evaluate a new $q$-beta integral with several parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17717 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A conjecture of Gasper on $q$-ultraspherical polynomials Chen, Dandan Yin, Siyu Classical Analysis and ODEs Number Theory In this paper we establish $q$-orthogonality relation for the continuous $q$-ultraspherical polynomials, which was considered by Gasper. Additionally, we evaluate a new $q$-beta integral with several parameters. |
| title | A conjecture of Gasper on $q$-ultraspherical polynomials |
| topic | Classical Analysis and ODEs Number Theory |
| url | https://arxiv.org/abs/2407.17717 |