  By building on former results and the cusp expansion algorithm, we construct
strict transfer operator approaches for geometrically finite developable
hyperbolic orbisurfaces of infinite area without cusps. Together with the cusp
expansion algorithm for orbisurfaces with cusps, this provides strict transfer
operator approaches for all hyperbolic orbifolds fulfilling mild assumptions.
For every such orbisurface we obtain explicit transfer operator families for
which, by virtue of a result of Fedosova and Pohl, the Fredholm determinant
function is seen to be identical to the associated Selberg zeta function.
