Vector-valued Maass-Poincare series

Shortly before his death, Ramanujan wrote about his discovery of mock theta functions, functions with interesting analytic properties. Recently, Zweger showed that mock theta functions could be "completed" to satisfy the transformation properties of a weight 1/2 real analytic vector-valued modular form. Using Maass-Poincar ' e series, Bringmann and Ono proved the Andrews-Dragonette conjecture, establishing an exact formula for the coefficients of Ramanujan's mock theta function f(q). In this paper we study vector-valued Maass-Poincare series of all weights, and give their Fourier expansions.