Here we extend the star products by means of complex symmetric matrices. In this way we obtain a family of star products. Next we consider the star exponentials with respect to these star products, and finally we obtain several interesting identities.
"Star Product and Star Exponential." J. Geom. Symmetry Phys. 19 99 - 111, 2010. https://doi.org/10.7546/jgsp-19-2010-99-111