  We have calculated one loop quantum electrodynamic corrections to the process
$ \gamma\gamma\rightarrow\mu^+\mu^-\gamma $, where all photons are on mass
shell and the muon mass is taken into account. The result is obtained in the
analytical form and is implemented as functions in the C programming language,
which can be used to calculate the cross-section, the differential cross
section, and to construct generators. We also present numerical results for
corrections to the cross section and to the differential cross section.
