Some q-identities associated with Ramanujan's continued fraction

Abstract

A continued fraction C(−q, q) is defined as a special case of a general continued fraction F(a, b, c, λ, q), which we have considered earlier in a separate paper. This continued fraction is also a special case of Ramanujan's continued fraction. In this paper we have found some very interesting q-identities and some identities analogous to identities given by Ramanujan involving G(−q, q) and H(−q, q) and one identity which gives the square of a continued fraction.