A master's thesis in the College of Science at the University of Basra discussed Applications of the Operator Phi in q-Identities, q-Integrals and q-Polynomials for postgraduate student Hassan Jamil Hassan. The thesis aims to define Φ as a general operator for many q-operators and uses its operator identities to generalize some well-known q-identities, such as Cauchy identity and q-Pfaff-Saalschütz sum.