  The method of the large mass expansion (LME) is investigated for selfenergy
and vertex functions in two-loop order. It has the technical advantage that in
many cases the expansion coefficients can be expressed analytically. As long as
only one non-zero external momentum squared, $q^2$, is involved also the Taylor
expansion (TE) w.r.t. small $q^2$ yields high precision results in a domain
sufficient for most applications. In the case of only one non-zero mass $M$ and
only one external momentum squared, the expansion w.r.t. $q^2/M^2$ is identical
for the TE and the LME. In this case the combined techniques yield analytic
expressions for many diagrams, which are quite easy to handle numerically.
