Some $q$-transformation formulas and Rogers-Ramanujan type identities
Combinatorics
2025-06-23 v1
Abstract
In this paper, we explore the role that Liu's transformation formula can play in discovering Rogers-Ramanujan type identities. Specifically, we combine Liu's transformation formula with other -series summations to derive a series of parameterized identities. Thereafter, through careful selection of these parameters, we obtain Rogers-Ramanujan type identities from Slater's list, and uncover several new Rogers-Ramanujan type identities.
Keywords
Cite
@article{arxiv.2506.16711,
title = {Some $q$-transformation formulas and Rogers-Ramanujan type identities},
author = {Chang Xu and Dunkun Yang},
journal= {arXiv preprint arXiv:2506.16711},
year = {2025}
}