  The stationary reflected Brownian motion in a three-quarter plane has been
rarely analyzed in the probabilistic literature, in comparison with the quarter
plane analogue model. In this context, our main result is to prove that the
stationary distribution can indeed be found by solving a boundary value problem
of the same kind as the one encountered in the quarter plane, up to various
dualities and symmetries. The main idea is to start from Fourier (and not
Laplace) transforms, allowing to get a functional equation for a single
function of two complex variables.
