Based on the basic hypergeometric series rφs, we construct a new generalized q-operator rɸs (a1, . . . , ar b1, . . . , bs ; q, −cθ) and obtain some of its identities. Using these identities, we generalize several well-known q-identities, such as the q-Gauss sum, the q-Chu-Vandermonde sum, and the q-Pffaf-Saalschütz sum.Publisher's Versio
