Wilf-Zeilberger seeds and non-trivial hypergeometric identities
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916587157585920 |
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| author | Au, Kam Cheong |
| author_facet | Au, Kam Cheong |
| contents | Through a systematic approach on generating Wilf-Zeilberger-pairs, we prove some hypergeometric identities conjectures due to Z.W. Sun, J. Guillera and Y. Zhao etc., including two Ramanujan-$1/π^4$, one $1/π^3$ formulas as well as a remarkable series for $ζ(5)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_14051 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Wilf-Zeilberger seeds and non-trivial hypergeometric identities Au, Kam Cheong Combinatorics Classical Analysis and ODEs Number Theory 11M32, 33C20 (Primary) 33F10 (Secondary) Through a systematic approach on generating Wilf-Zeilberger-pairs, we prove some hypergeometric identities conjectures due to Z.W. Sun, J. Guillera and Y. Zhao etc., including two Ramanujan-$1/π^4$, one $1/π^3$ formulas as well as a remarkable series for $ζ(5)$. |
| title | Wilf-Zeilberger seeds and non-trivial hypergeometric identities |
| topic | Combinatorics Classical Analysis and ODEs Number Theory 11M32, 33C20 (Primary) 33F10 (Secondary) |
| url | https://arxiv.org/abs/2312.14051 |