A study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t matrix element tend to zero as the energy and momentum variables tend to zero. he multiple scattering series is used to show that the connected three-to-three amplitudes diverge in the low energy-momentum limit. Unitarity relations are used logarithmic singularities at the m particle breakup threshold. The sub energy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of physical interest. (author).