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We calculate the cross section and the transverse momentum distribution of inclusive J/\psi production in \gamma \gamma collisions at CERN LEP2 within the colour singlet model and the k_T-factorization approach, including both direct and resolved photon contributions. The unintegrated gluon distribution in the photon is determined, using the Blumlein’s prescription for unintegrated gluon distribution in a proton. We compare our theoretical predictions with preliminary data taken by the DELPHI collaboration at LEP2. In addition, we present our predictions for the J/\psi polarization properties.

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