  We discuss the analytic continuation of scaling function in the 3-dimensional
Z(2),O(2) andO(4) universality classes using the Schofield representation of
the magnetic equation of state. We show that a determination of the location of
Lee-Yang edge singularities and, in the case of Z(2), also the Langer edge
singularity yields stable results. Results for the former are in good agreement
with Functional Renormalization Group calculations. We also present results for
the location of the Langer edge singularity in the 3-d,Z(2) universality class.
We find that in terms of the complex scaling variable z the distance of the
Langer edge singularity to the critical point agrees within errors with that of
the Lee-Yang edge singularity. Furthermore the magnitude of the discontinuity
along the Langer branch cut is an order of magnitude smaller than that along
the Lee-Yang branch cut.
