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arXiv · 2403.01064

A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities

Jianan Xu·Xinrong Ma
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Abstract

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.

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Jianan Xu, Xinrong Ma. 2024-05-27. A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities. https://arxiv.org/abs/2403.01064

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