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An algorithm for sequential calculation of non-isotropic matrix elements ofthe collision integral which are necessary for the solution of the non-linearBoltzmann equation by moment method is proposed. Isotropic matrix elements thatwe believe are known, are starting ones. The procedure is valid for anyinteraction law and any mass ratio of the colliding particles.

An Algorithm for the calculation of non-isotropic collision integral  matrix elements of the non-linear Boltzmann equation by the use of recurrence  relations