Symmetrization of the Berezin star product and multiple star product method

We construct a multiple star product method and, using this method, show th at integral forms of some star products can be written in terms of the path integral. The method is applied to some examples. In particular, the assoc iativity of the skew-symmetrized Berezin star product proposed by Saito and Wakatsuki is recovered in the large-N limit of the multiple star product. We also derive the path integral form of the Kontsevich star product from t he multiple Moyal star product. This paper includes a review of star produc ts.