Iida, Mari; Yoshioka, Akira Star products and applications. (English) Zbl 1216.53081 J. Geom. Symmetry Phys. 20, 49-56 (2010). Summary: Star products parametrized by complex matrices are defined. Especially commutative associative star products are treated, and star exponentials with respect to these star products are considered. Jacobi’s theta functions are given as infinite sums of star exponentials. As application, several concrete identities are obtained by properties of the star exponentials. Cited in 1 ReviewCited in 2 Documents MSC: 53D55 Deformation quantization, star products Keywords:Jacobi’s theta functions; star exponentials; complex symmetric matrix PDFBibTeX XMLCite \textit{M. Iida} and \textit{A. Yoshioka}, J. Geom. Symmetry Phys. 20, 49--56 (2010; Zbl 1216.53081)