Pfaff's Method Revisited
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916718464466944 |
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| author | Dhar, Aritram |
| author_facet | Dhar, Aritram |
| contents | In 1797, Pfaff gave a simple proof of a ${}_3F_2$ hypergeometric series summation formula which was much later reproved by Andrews in 1996. In the same paper, Andrews also proved other well-known hypergeometric identities using Pfaff's method. In this paper, we prove a number of terminating $q$-hypergeometric series-product identities using Pfaff's method thereby providing a detailed account of its wide applicability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08705 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pfaff's Method Revisited Dhar, Aritram Number Theory Classical Analysis and ODEs 11B37, 33D15, 33D65 In 1797, Pfaff gave a simple proof of a ${}_3F_2$ hypergeometric series summation formula which was much later reproved by Andrews in 1996. In the same paper, Andrews also proved other well-known hypergeometric identities using Pfaff's method. In this paper, we prove a number of terminating $q$-hypergeometric series-product identities using Pfaff's method thereby providing a detailed account of its wide applicability. |
| title | Pfaff's Method Revisited |
| topic | Number Theory Classical Analysis and ODEs 11B37, 33D15, 33D65 |
| url | https://arxiv.org/abs/2405.08705 |