New modular relations involving cubes of the Göllnitz–Gordon functions

Abstract

Chen and Huang established some elegant modular relations for the Gollnitz–Gordon functions analogous to Ramanujan’s list of forty identities for the Rogers–Ramanujan functions. In this paper, we derive some new modular relations involving cubes of the Gollnitz–Gordon functions. Furthermore, we also provide new proofs of some modular relations for the Gollnitz–Gordon functions due to Gugg.