A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910459583528960 |
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| author | Xu, Jianan Ma, Xinrong |
| author_facet | Xu, Jianan Ma, Xinrong |
| contents | In the present paper, we establish a general transformation for $q$-series which contains L. Wang et al's transformation involved in Nahm series. As direct applications, some concrete new transformation formulas for the ${}_{r+1}ϕ_r$ series as well as $q$-identities of multi-sum Rogers-Ramanujan-Slater type are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01064 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities Xu, Jianan Ma, Xinrong Combinatorics 33D15, 33D65 In the present paper, we establish a general transformation for $q$-series which contains L. Wang et al's transformation involved in Nahm series. As direct applications, some concrete new transformation formulas for the ${}_{r+1}ϕ_r$ series as well as $q$-identities of multi-sum Rogers-Ramanujan-Slater type are presented. |
| title | A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities |
| topic | Combinatorics 33D15, 33D65 |
| url | https://arxiv.org/abs/2403.01064 |