  Electron-impact ionization of atomic hydrogen with the electron's anomalous
mag- netic moment (AMM) effects are examined. The formulas for the
laser-assisted relativis- tic triple differential cross section (TDCS) in the
coplanar binary geometry developed earlier by Y. Attaourti and S. Taj [Phys.
Rev. A 69, 063411 (2004)] are used to check the consistency of our computations
when the anomaly $\kappa$ is taken to be zero. We show that the contribution of
the terms containing the AMM effects even in the first Born approximation has
an important contribution, so it must be included in any reliable analysis. A
full analytical calculation for the TDCS is presented.
