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

2024/03/02 by Xu, Jianan, Ma, Xinrong
#33D15 #33D65 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.01064

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+1ϕ_r series as well as q-identities of multi-sum Rogers-Ramanujan-Slater type are presented.

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