The Rogers--Ramanujan continued fraction and related Eta-Quotient representations

Authors

  • S. Chern
  • D. Tang

Keywords:

Rogers--Ramanujan continued fraction, eta-quotient representations, recurrence relations.

Abstract

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 could be utilized to dissect certain $q$-series identities.

Published

2021-03-10

Issue

Section

Articles