We consider the possibility of studying anomalous contributions to the gamma gamma H and Z gamma H vertices through the process e gamma-->eH at future e gamma linear colliders, with root S = 500-1500 GeV. We make a model independent analysis based on SU(2) X U(1) invariant effective operators of dim = 6 added to the standard model Lagrangian. We consider a light Higgs boson (mostly decaying in <b(b)over bar> pairs), and include all the relevant backgrounds. Initial e-beam polarization effects are also analyzed. We find that the process e gamma-->eH provides an excellent opportunity to strongly constrain both the CP-even and the CP-odd anomalous contributions to the gamma gamma H and Z gamma H vertices. [S0556-2821(99)06121-4].
