  The bounds on the anomalous contributions to the ggh and zgh vertices that
can be obtained via the process eg->eh are discussed through a model
independent analysis based on SU(2) X U(1) invariant operators of dim=6. A
light Higgs boson with m_H ~ 120 GeV and center-of-mass energies of
\sqrt{S}=500 GeV and \sqrt{S}=1500 GeV are assumed. The process eg->eh is shown
to provide an excellent way to strongly constraint both the CP-even and CP-odd
anomalous contributions in the ggH and ZgH couplings.
