Certain identities for Ramanujan–Göllnitz–Gordon continued fraction

In this paper, we present three new identities providing relations between Ramanujan–Göllnitz–Gordon continued fraction H(q)H(q) and the three continued fractions H(q5)H(q5), H(q7)H(q7) and H(q11)H(q11). We also give a new approach for relations between H(q)H(q) and H(q3)H(q3) which is due to Chan and Huang [Ramanujan J. 1 (1997) 75–90].