Azimuthal correlations of particles in a non-central rapidity region in high energy heavy ion collisions

General forms of azimuthal distributions in a non-central rapidity region in high energy nuclear collisions are derived from the initial state geometry. Based on that, new correlation coefficients for azimuthal correlation are suggested and some numerical results are presented using the AMPT generator for Au+Au collisions with different centralities at $\sqrt{s_{NN}}=200GeV$. (paper)