Published online by Cambridge University Press: 17 September 2020
We construct eta-quotient representations of two families of q-series involving the Rogers–Ramanujan continued fraction by establishing related recurrence relations. We also display how these eta-quotient representations can be utilised to dissect certain q-series identities.
The second author was supported by the Postdoctoral Science Foundation of China (No. 2019M661005) and the Fundamental Research Funds for the Central Universities (No. 2018CDXYST0024).