English

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

Combinatorics 2024-05-28 v2

Abstract

In the present paper, we establish a general transformation for qq-series which contains L. Wang et al's transformation involved in Nahm series. As direct applications, some concrete new transformation formulas for the r+1ϕr{}_{r+1}\phi_r series as well as qq-identities of multi-sum Rogers-Ramanujan-Slater type are presented.

Keywords

Cite

@article{arxiv.2403.01064,
  title  = {A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities},
  author = {Jianan Xu and Xinrong Ma},
  journal= {arXiv preprint arXiv:2403.01064},
  year   = {2024}
}

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