Akira Yoshioka
Star Product and Several Star Functions
One parameter deformation of function is given by means of convergent star product,
where the deformation parameter varies in some domain of $\mathbb C$.
The deformed functions are called {\it star functions}.
In this presentation, we discuss, as a simple case, a star product of functions of one variable,
and then the product becomes commutative and associative. Several concrete examples,
e.g., star Gamma function, are given together with their basic identities.