In this paper, we find new proofs of modular relations for the Göllnitz-Gordon functions established earlier by S.-S. Huang and S.-L. Chen. We use Schröter's formulas and some simple theta-function identities of Ramanujan to establish the relations. We also find some new modular relations of the same nature.

We define the nonic Rogers-Ramanujan-type functions D(q), E(q) and F (q) and establish several modular relations involving these functions, which are analogous to Ramanujan's well known forty identities for the Rogers-Ramanujan functions. We also extract partition theoretic results from some of these relations.

In this paper, we establish several modular relations involving two functions analogous to the Rogers-Ramanujan functions. These relations are analogous to Ramanujan's famous forty identities for the Rogers-Ramanujan functions. Also, by the notion of colored partitions, we extract partition theoretic interpretations from some of our relations.

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