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We study the decay width and CP-asymmetry of the inclusive process b--> s g g(g denotes gluon) in the three and two Higgs doublet models with complex Yukawacouplings. We analyse the dependencies of the differential decay width andCP-asymmetry to the s- quark energy E_s and CP violating parameter \theta. Weobserve that there exist a considerable enhancement in the decay width and CPasymmetry is at the order of 10^{-2}. Further, it is possible to predict thesign of C_7^{eff} using the CP asymmetry.Comment: 15 pages, 7 Figures (required epsf style

THE b→sgg DECAY IN THE TWO AND THREE HIGGS DOUBLET MODELS WITH CP VIOLATING EFFECTS