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Some $q$-transformation formulas and Rogers-Ramanujan type identities

Published 20 Jun 2025 in math.CO | (2506.16711v1)

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 $q$-series summations to derive a series of parameterized identities. Thereafter, through careful selection of these parameters, we obtain $75$ Rogers-Ramanujan type identities from Slater's list, and uncover several new Rogers-Ramanujan type identities.

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Authors (2)

  1. Chang Xu 
  2. Dunkun Yang 

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