Abstract
A higher-moment 3D model for axisymmetric three-integral disc galaxies is reexamined and modified slightly in order to take proper account of the possibly non-ellipsoidal character of the velocity distribution. General recurrence relations are found, relating certain successive even moments of arbitrary order, which are seen as generalizations of the original closure assumptions. Therefore the closure assumptions can be taken at any moment order, since the model equations generated by the generalized closure relations are valid at all levels of the infinite hierarchy of moment equations
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