The well-known Bailey's transform is extended. Using the extended transform, we derive hitherto undiscovered ordinary and q -hypergeometric identities and discuss their particular cases of importance, namely, two new q -sums for Saalschützian 4 Φ 3 , new double series Rogers-Ramanujan-type identities of modulo 81, discrete extension of the q -analogs of two quadratic transformations of 2 F 1 , and two new quadratic-cubic transformations of 3 F 2 .