New proofs of theorems on q-orthogonal functions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866929452979585024 |
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| author | Chen, Dandan Liu, Zhiguo |
| author_facet | Chen, Dandan Liu, Zhiguo |
| contents | In this paper, we establish a $q$-integral formula by using the orthogonality relation, and also provide a new proof of the $q$-orthogonality relation for the continuous $q$-ultraspherical polynomials.
A new $q$-beta integral with five parameters is evaluated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04444 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New proofs of theorems on q-orthogonal functions Chen, Dandan Liu, Zhiguo Classical Analysis and ODEs Number Theory In this paper, we establish a $q$-integral formula by using the orthogonality relation, and also provide a new proof of the $q$-orthogonality relation for the continuous $q$-ultraspherical polynomials. A new $q$-beta integral with five parameters is evaluated. |
| title | New proofs of theorems on q-orthogonal functions |
| topic | Classical Analysis and ODEs Number Theory |
| url | https://arxiv.org/abs/2408.04444 |